You have several state public schools on your list that admit few non residents with no connection to the state.
I suggest these schools with your stats:
U Washington
Utah
Loma Linda
Creighton
St. Louis
Rosalind Franklin
Rush
Loyola
Medical College Wisconsin
Oakland Beaumont
Wayne State
TCU
Tulane
NOVA MD
Wake Forest
Virginia Commonwealth
Eastern Virginia
George Washington
Georgetown
Drexel
Temple
Jefferson
Penn State
Hackensack
New York Medical College
Albany
Vermont
Quinnipiac
Belmont (when it opens)