Most people here will recommend you against it. I don't really have a strong opinion.
Some people go to school thinking about career. In most cases, people don't end up doing what they think they will be doing anyways. So I'd just go with what you believe in. Things change. Your opinion of yourself changes too. They say you can learn photography on your own. That's true, but probably not as deep in the same amount of time as you would if you just do it as a hobby.
I can tell you about design schools but not photography. Most of your success comes after school. Bottom line is, pick a full 4 year accredited program. Better still, go to a proper university and learn from your peers, especially non-photography major folks. AI is a trade school, for profit(nothing wrong with that), but they will give you a false impression that your future is bright with them in order to get you to pay up. Go to a program with high entry standard, like one with a requirement of portfolio. If they let you in without any hurdle except a down payment or something like that, chances are they are much more interested in your wallet than your aspirations.