I suspect that lack of research may hurt at the research powerhouses, but if you don't apply, you definitely won't get accepted.
Hence, I'll be a little more cautious.
UCSF OR Stanford
Harvard OR Yale
John Hopkins OR Columbia
Northwestern OR NYU
Cornell OR Icahn
UCR ONLY if you're from the Inland Empire
Hofstra It's research protection, not yield protection. Keep on the list
U AZ (both)