Did you read my response?
If you qualify for the Excelsior award, your tuition will be covered…and any remaining costs at a SUNY should be able to be covered by the $20,000 you think your parents can contribute annually.
That fits your budget.
You aren’t open to places where you could get aid to cover additional costs…well…unless you plan to apply to some generous colleges that meet full need for all. At your income level, schools like HYPSM etc would likely give you decent need based aid…if you get accepted.
What are your criteria…so folks can make suggestions that might actually meet your standards?