I had to make this decision last year and honestly, I realized there isn't really a difference between the two schools. The two exceptions would be if you are into PBL or women's health. NJMS has some PBL as well, but as I'm sure they made you aware, you can choose your entire curriculum at Drexel to focus around PBL if you wish. I'm not positive about the women's health thing, but they seemed to make a big deal about it during my visits.
Board scores and matching? Both are individual efforts in that regard, the name of the school won't help you in either case with these schools.
Ultimately the biggest difference, at least for me, is the COST. As the previous poster mentioned, there is a huge difference in cost between the two schools that is not justified by any difference in education. NJMS looks like the better choice.