I agree with everyone's advice.
RWJ, Cooper and NJMS are going to be your best bet. It's worth mentioning that NJMS sprints through the application cycle and is becoming increasingly MCAT-centric, so be sure to get your application in early. Their class was filled by Thanksgiving this year.
You should be grateful that you live in a medically concentrated area. In NYC, you have Downstate and Einstein; in NYS, you have Upstate, Stony Brook, Albany, Hofstra, NYMC and Buffalo. In PA, you have Jefferson, Drexel, Temple, TCMC and PSU. However, I wouldn't ignore upper-tier schools if you feel like you're a good fit for them. If you have a demonstrated interest in academic medicine or research, for example, spit-balling an application to NYU, Pittsburgh or Weill might be worth a shot. As you'll find out soon enough, the application process is full of surprises.
You should be aware that lower-ranked private schools in the area receive an absurd amount of applications (10k+). Also, while obviously biased towards IS applicants, the SUNY's are significantly more OOS friendly than other state schools. SBU specifically mentioned this on interview day.