You sound like a stellar candidate with a better than usual chance at HYPSM. If you do not qualify for any aid at these, however, they may not be realistic options. In good conscience I can’t suggest that someone drain their parents finances for any college - not would it be fair to a younger sibling to leave them with little for school. Have you looked into Purdue - their cost is quite a bit lower than HYPSM and they have a strong STEM programs (I can’t speak to math, specifically).