Most private schools even with merit and need based aid will probably be around $20,000 a year.
Run the net price calculators to see.
That’s a lot with $70,000 income.
With that income you would qualify for NYS Excelsior scholarship which would give you free tuition at SUNY/CUNY.
That would probably still leave fees, room and board and books of about $15,000 but if you work summers and take your student loan, your parents should have to contribute less than $10,000 a year.