OP, what is your relationship with your parents? Are they involved? Hands off? Do they listen to you? Are you wanting to pull them in?
Some parents do tell their kids where to go and not just due to finances. A habit of control? Thinking they know best? You are lucky in that since your folks won’t be paying, you can do whatever you would like. You just want their input.
I have tried very hard to just offer ideas to my kids. We have plenty of money so that hasn’t been an issue. Instead I have been free to ask them questions like “is this school too small? too geographically isolated? too homogenous? too hard?” I have tried to keep my opinion under wraps and just raise issues. My husband has been another story! He hasn’t told the kids where to go, but makes it clear what he is thinking. (I think the kids do the opposite…that’s how they know what to pick.)
If you are wanting some parental input, OP, ask. Lay out your possibilities.