I suggest you and your parents run the net price calculator for some of these schools. That’ll give you an idea of your expected family contribution. If that’s comfortably affordable, then you’re fine because many of your reach schools will meet full need*. But do not let your parents take on large loans and jeopardize their financial well being.
You might also qualify for the Questbridge program. Check it out.
(* - be careful with NYU. They are very expensive - over $90k/year now, and their financial aid package tends to include large loans)