Should I go to college out of state?

I'm finishing up my junior year of high school, but I actually should be graduating this year. My birthday's in 2003 in the first week of October, and the state where I live has a winter cutoff, which means that I was supposed to start Kindergarten in the fall of 2008. However, because my parents didn't have a lot of confidence in me, they waited until the fall of 2009 to send me. All through school, I've felt embarrassed about being a year behind, and out-of-place for being more than a year older than some of my classmates. The thing is, though, that most states have a September cutoff, which means that in most states, I wouldn't have been allowed to start Kindergarten until the fall of 2009. Thus, by the standards of most states, I'm in the right grade. If I went to college in a state with a September cutoff, I'd be exactly in the year I'm supposed to be in, and there wouldn't be anything weird about turning 19 in October of my freshman year or 21 in October of my junior year, since that's the norm for October-born people in that state. I'd still be one of the very oldest, but I'd fall within the standard age range for my year. I know this seems crazy, but lately, nothing has been more important to me than being normal and fitting in.