Disclaimer: I’m a senior in high school, so I can’t give you as good a perspective as someone who attended these schools. But I did spend a weekend at Brown about a month ago.
Yes, it is a liberal school. Yes, it is a place where words like “patriarchy” and “gender binary” are heard more often than many other locations. But that isn’t all it is. There are plenty of people at Brown who don’t dye their hair or wear weird stuff. As far as colleges go, they are pretty open and accepting of opinions and are a very “you do you” kind of school.
My advice would be to speak to one or more students who go there, just to hear their perspectives. But you should be aware that the environment there may be different than what you are used to, and decide if that’s okay with you.