Most likely is not going to happen. On Bing’s website they are pretty straight forward as to what their requirements are. either you meet the requirements and they select you for a scholarship or they don’t. They don’t care what the other SUNY schools gave you because they have a higher threshold for general admissions than almost all of the other SUNY schools
https://www.suny.edu/media/suny/content-assets/documents/summary-sheets/Admissions_qf_stateop.pdf
If money is an issue, follow the $$