I think you have a good chance at pretty much any school you apply to- of course these are reaches for anyone but your stats and background are impressive, IMO. I am not able to offer you financial advice though.
On the other hand, don’t just chase prestige. Some of the schools you mentioned are very very different than others on your list. Like Columbia/Chicago (very urban) vs Dartmouth.
Also, you have schools at the very top, and then safeties. But really no in-between matches. Maybe places like Lafayette, Franklin and Marshall, Case Western, Univ of Rochester would offer you sufficient financial aid while still providing the academic rigor you want.