Right now you really have no financial safeties on your list. NYU does not meet 100% demonstrated need.
You will not be eligible for Pell, but you will get a Few $$ in TAP. The Max Excelsior scholarship is $5500
If your family lives paycheck to paycheck, how will you pay for Stony Brook (a few dollars in TAP, Excelsior and a loan?) What about room and board?
What is your class rank? Are you eligible for a STEM Incentive Scholarship.