Have your GC contact your Cuny rep and ask about getting your admissions changed to city college. Or contact City college directly to ask about having your admissions switches to them.
Or go to Queens for a year, take the gen encourages accumulate 30 credits and a 3.2 goal and then transfer to City college
Are you eligible for TAP or Pell
what is your class rank? Are you graduating in the top 10% of the class ( if yes, the NYS STEM initiative will cover your tuition at CUNY or SUNY).
It your parents are paying 10k and you are eligible for a $5500 loan, where is the balance of the money from stony brook coming from?