HYPSM + Chicago

I can give you a real world answer. My D graduated in 2015 from a large IL high school with a 36 ACT a 3.82 unweighted, 4.3 weighted GPA with 10 AP courses or maybe 11. She was rejected EA to Stanford, rejected by Princeton, Yale, Harvard from your list. Your ECs are stronger than hers were. Your list is too top heavy relative to your stats. My advice would be to short list these super selective schools and add some like Carnegie Mellon or schools likely to offer you merit aid. You will have a very strong application but it is hard to write exceptional, school specific essays to that many schools