I suggest:
Columbia
Cornell
Duke
Mayo
Northwestern
Case
Hofstra
Stanford
Baylor
BU
Pitt
Sinai
U MI
Brown
Rochester
SUNY-SB
USC/Keck
Albert Einstein
Dartmouth
Emory
NYMC
Ohio State
U Cincy
U IA
U MA
UCSF
Creighton
Gtown
Hackensack Meridian
Jefferson
Miami
NYU-LI
SLU
Tufts
U CO
U VM
UCF
UCLA [likes disadvantaged]
Uniformed Services University/Hebert (just be aware of the military service commitment)
VCU
Western MI
Your state school(s)
Yes, it's a long list. Your job is to cull it down, based upon your needs/interests.