There are some folks on this board that have done very well despite having low scores. I think coming from NY ( you didn’t say if it was NYC or upstate or elsewhere) won’t give you a boost. There will be many applying from there esp if it’s NYC. I’d suggest beefing up your SSAT by practicing. You can only present the best application possible. So do your best and hope for the best.
BTW, you can have outstanding scores and grades and not gain acceptance to any school.