You are fine to apply next month. I suggest these schools with your stats:
Howard
Meharry
Morehouse
UCLA Drew
The UC's
USC Keck
Kaiser
California University
Quinnipiac
Tufts
New York Medical College
Hofstra
Einstein
Seton Hall
Drexel
Temple
Jefferson
George Washington
Georgetown
Eastern Virginia
Virginia Commonwealth
NOVA MD
Oakland Beaumont
Medical College Wisconsin
Rush
Loyola
Rosalind Franklin
St. Louis
Creighton
Tulane