Agreed. College ought to be a good time to go through the initial transition. Even if you're 22, the general expectation in university is that everyone is in their late teens or early twenties, and so they are all at that stage of changing from teen to adult and are developing their identities. If you undergo drastic changes from the beginning of the year to the end, it could easily be explained or assumed to be late adolescent changes.
You may find that you don't even need to go stealth on being trans, if the school has a strong LGBT group. Of course, that's completely up to you.
Also, people don't often ask your age. They don't know you're 22. If your voice hasn't dropped and if present as masculine and confident, maybe they'll assume you're a 16 year old genius.

You get to pick who you want to be while you're in school.