Is it feasible to get into music composition school without playing a traditional instrument, and with influences I know most professional musicians dislike?

I'm a senior in high school, and I really, really want to be a composer/producer. I want to attend music school so it's easier to move to a big city, and so I can get connections for some bigger projects I have in mind (video game/film scores, symphonies, etc.). The thing I'm concerned about is that I don't really play any traditional instrument. I can sort of play piano, but definitely not well enough to audition on. I have a strong preference for either composing music on software, or simply writing it out for someone else to play on an instrument. I have no clue if this sort of process is acceptable at all in a formal environment and I'm concerned I'll be laughed out for it. In addition, I tend to incorporate a lot of stuff that's seen as 'low-brow' that I've grown up around in Western Colorado like country, norteño, reggaeton, trap, banda, dubstep, etc., and whenever I'm around professionally trained musicians, all I hear is non-stop mocking whenever that sort of music is mentioned. I don't know if that environment is just something confined to where I live or not, and if that'll negatively affect me in university. Do I have any chance at all, or should I look for other options?

EDIT: Just to clarify, I already know pretty advanced music theory, and I like classical music so those aren't issues. The only reason I want to go to music school is to get some connections to do scores, and execute some larger works that require a lot of people.

EDIT: Fuck all you pretentious, spoiled, smug rich kids who think I should quit music, or that I'm an idiot just because I can't get proper piano lessons, or whatever because I live in the middle of nowhere.