Dan, below are my two cents and nothing more. pay only a little attention to it.
I think you want to be a filmmaker because you want to tell stories. Film school will teach you 'how' to tell those stories, but it will not make you a better storyteller. What will make you a good storyteller is how much you know about other people, so that when you write about something or make a film about something, other people will be able to relate. The way you learn about those things is simply by reading or taking classes in non film related subjects.
You don't necessarily have to learn about completely different cultures or countries or languages. Try reading up on the American South for instance. It's a whole different way of living from New England. But it's interesting as hell. It'll give you a different perspective. You will add it to your world view, and then the stories you tell will be somehow richer.
My point is, major in something else, literature, history, social studies, whatever. But maybe do it in a school that has a good film program. So that all your electives can be film. Something like that. Actually, psychology might be the best major for a filmmaker
Or, go to a school like DRC's, which actually has professionals with connections teaching you things. That might end up being more useful than any book you ever read.
See I told you not to pay attention to what I say.
Good luck choosing a school.
Aveek