Meditating
Sometimes people will advice that you meditate when you are confused and looking for answers. Indeed meditation is there to help you clear your mind, but it's unlikely that you get visions of anything meaningful. I may be breaking some people's delusions, but sincerely there are 99% of chances that you trigger something "fake" instead (this won't give you the right answers). Also, meditating does not equal soulsearching - meditation isn't soulsearch, but it can be a tool to help introspecting. I'm not a master of meditation so this section will be short and I won't enter into details. I simply want to clear some things up.
Meditation is a medium to achieve inner peace. Do not expect you'll get magical visions of your grand-poobah spirit guide, that you'll astral travel or will meet with the gods. Reaching a state of inner peace is there to help you getting rid of parasiting thoughts that get in the way of your questioning process. Often people think meditation is there in order to enter an altered state to get answers. Don't expect anything like that; don't expect anything because it's quite easy to trigger something fake. I also see many people mistaking "visions" with day-dreaming. Just drop the idea, what matter is that you relax and don't let any crap influence you, so you can look at concrete facts and feelings, and deal with reality in the most honest way possible. Meditation is not about thinking of nothing. It's about not paying attention to the parasiting flow of thoughts wandering in your mind, about not stopping at each detail trying to analyze them, in order to distance yourself from them and find inner-peace. Again, the purpose is that you clear your mind and reach the perfect state to question yourself.
I use a similar form of meditation to Keller's chakra meditation guide. Her article is more comprehensive than anything I could write on the subject so I'll direct you to it instead of babbling incoherently.
I wouldn't recommend meditation as a reliable tool for vizualizing anything because it's prone to let fantasies go wild no matter how far from reality it is. This is problematic, you can never trust what you think you saw - if you saw anything - let alone any interpretation of it. Often meditation will make you visualize what you expect the most or what would please you the most. It can be hard to stay unbiased and keep one's mind critical when questioning oneself even with a clear mind, but fortunately you have more possibilities, including discussing.
Discussing
Questioning's biggest difficulty is that it works only when you stay honest and the most unbiased possible - and it can be pretty hard to make sure you are. I would advise that you discuss with other animal people about your soulsearch in order to get feedback, especially if you're unsure of how sincere you are to yourself. The point in getting people's opinions is not about validating your therianthropy, but pointing to flaws in your reasoning and also point to other possibilities you wouldn't think of in the first place. "Discussing your therianthropy" is not about saying "here is what I experience" to ask your friends about what you are. It's about explaining to people who have critical mind "here is the way I've proceeded to soulsearch, how I analyzed my experiences, and the conclusions I came to" to ask if it sounds logical, if you forgot any step or aspect of the thing. Remember you must also be able to tell "why" you believe so or so. Anybody can say that they soulsearched and they're a gryphon; but when they can not tell you why a gryphon and not a mixture of two or more animals, or how they came to such conclusion, you get an idea of how un-serious they are and why some people can't stand being questionned. Spotting pseudo-therians can become quite easy. If you have no idea of how you came to your conclusions, you can't be sure about them.
Before you rush on forums to post anything or e-mail anyone, let me tell you a few things. What you want is useful input, right. We can agree on the fact you will most likely get good, interesting and more reliable feedback from experienced animal people (I mean people who have walked their path and are farther on their road than you are; I do not mean people who've only been there for longer than you). They should have an idea of what you're going through, and probably have a little idea of what's ahead of you. You may find some of them on and out of boards (but most of people on forums are new or inexperienced and won't help you much). Some are okay people and will lend you a paw if you sound like a decent person; but many other try to format your mind the way they would prefer you to think, and those people often are the loudest ones (thus, often those people will turn to). They may have a valuable experience, but simply like to make sure you won't annoy them with things or people they dislike, or will just try to get some respect from you - which they sometimes might deserve, but most of the time not. I would simply say, be extremely wary of who you think as "knowledgeable". Take everything you read with a grain of salt. I can think of a few "respected therians" people turn to who don't even know what they talk about, spread erroneous information, and are involved in power-struggles. Listen to any advice, but be careful and don't think everybody has the same motives and simply want to help you out. Most of the non-reliable people I've met are in the community, but obviously you can find them anywhere.
Some people may say good stuff at some point, and bullshit as well. Things aren't black or white. Also, some people often aren't the same in private, especially due to the social pressure and conventions on boards that keeps them from being sincere. Sometimes they will take advantage of the fact nobody's looking to abuse you. You can get flamed publicly, but you can be grilled in an e-mail too. Basically, stay careful. Good people are rare, this is a thing I've learned with time; a good chunk of them aren't involved in discussions and aren't even watching. Some people are not interested in talking with you. Some wouldn't mind. Some may reply bluntly, which doesn't mean their advice is pointless. I think out of the boards you are most likely to get a sincere though blunt reply, and also more likely to get interesting, good-quality feedback. On the other hand on forums you will probably get more replies, though many of them won't help you much, some may not be honest, and you can get grilled easily and badly if you don't fit the community's standards or if you talk about anything taboo.
Try to see who makes sense and sounds honest, and ask more in private later. Or you can both post and ask privately to see how the replies vary. And make comparisons between people's replies, too. I'll stop rambling to let you find the way to get good input you find the most efficient and interesting. In any case, don't forget this is about feedback, becoming aware of mistakes you may have done, and being pointed to other possibilities. It may be blunt but it's not about being mocked if you get nothing out of it, and it's certainly not about being flamed and insulted. I would say you can only count on yourself in the end. You're the one it's all about, right? Don't be stupid, but don't be a naive sheep.
Labeling
You know how I planned to entitle this essay "Soulsearching and Labeling oneself"? I changed my mind because you already have that Labels essay to refer to if you need. Always remember: you don't need labels at all. As I said elsewhere, with time I realized that I didn't need to use any label to communicate with other animal people in a clear and concise way. In fact, labels keep us from discussing the way we personally experience our animality, as they are umbrella-terms. When I'm not asking about personal, specific experiences, I've been using "animal person", "animal folk" and "animalself" when I need shortcuts; and guess what. It works.
"In the end, I am [insert your animal here]" is the most simple way to say it.