I’m sorry that it feels like an anti-competitive environment is ridiculously egalitarian, but I think colleges do regularly encounter students from such schools. Presumably your school profile will make clear that there are no awards or rank and the school (hopefully) has sent other students to the schools that interest you. In this case, the college advising office will hopefully be able to help you get a realistic idea of your chances at those schools. But going to a school “committed to anti-hierarchal egalitarian idealism” does not prevent kids from being accepted to competitive colleges (at least not in my observation).