For reference, I'm 19 and a freshman in college.
From my perspective, college has a lot to offer. Research, the chance to meet important people in the field, the chance to meet interesting people out of the field. These influenced my decision to be here (though I hadn't actually considered the possibility that college wasn't a requirement).
If you know your interests, I think going to college (for a degree) is a great way to go, because you can learn cool stuff full-time and meet people like you. Clearly you thought you did know -- but it turns out that working as a webdev wasn't the answer.
Given that, you probably need to talk to people who aren't the people you identify with. My vote is to take some time to find your interests, by traveling or being a bum on the streets of New York. Talk to everyone you meet about their interests. (Make a point, of course, to meet anyone and everyone you possibly can.) Hopefully you'll find that someone will infect you with their own passion.
If none of those float your boat, then get a part time job (one that you won't tie to your identity -- it's hard to get burnt out from being a waiter, even if it sucks to do) and make enough to pay your living expenses while you take classes in any subject you can think of at a community college. (Not for a degree, but to see if anything catches your interest.)
Whatever path you need to take, find _something_ that interests you. And then do it.
If it turns out later that web development (but only cool projects) is really what you want to do, then do it. If you still can't do it as a salaried position, other HNers have recommended going freelance. I'd say either that or keep your non-identity day job while you build shit on the side -- just make sure that one of your projects is making you enough money to put something away, because you won't be able to live forever on next to nothing.