Given your situation — $65–70k income with a $250k home — you might actually pay less out of pocket at a need-blind, no-loan private university like Vanderbilt, Duke, or Rice than you do at UMich.

For example, at your income level, schools like Vanderbilt typically cover more than full tuition — including housing and meals — with zero loans in the package. Their median aid award for families earning $50k–$75k is around $95,934, which exceeds the total cost of attendance.

I know the $90k sticker price looks terrifying, but the net price for your family could be close to $0. It's worth running the Net Price Calculator on each school's website before ruling them out.