@Kingo: definitely apply to Rutgers, TCNJ, NJIT, and Rowan. Apply to Honors at all if possible (although Rutgers Honors is incredibly difficult to get into).
Look into this major (on the Piscataway campus but remarkable for premeds AND as a plan B)
Next, run the NPC on colleges that are solid for science and financial+merit aid - a bit far away: Kalamazoo, St Olaf, Muhlenberg, St Lawrence..in addition to Stevens, Drexel, RPI which are good targets. (National colleges want students from all over the country so if you are from 400+ miles away it may be a nudge in your favor and lead to preferential packaging wrt financial aid.)
Only apply to 2-3 highly selective meet need universities, because at that level of income you’d get a lot of financial aid and support.