Congrats pcad sound very similar to my types of scores a few years back(1360 93 percentile SAT 32 97 percentile ACT). I would not have felt a problem applying to any of those schools, and 6-7 years after the fact now I deeply regret that I didn't take a few shots at the very high end schools (esp since they mostly have 100% grant based aid for people from my background).

I ended up getting accepted to basically every school I applied to (waiting listed to a Liberal arts school when applying for engineering not sure why i did that I think I confused them). Pay the $75 bucks per app and have no regrets. If you don't get rejected from a school you didn't apply to good enough schools IMO.

And seriously look at University of Rochester. I really enjoyed my time there and it is NYU level with more well rounded student body.