It would also completely block you at schools that check the letter fulfillment at time of file completion. That is, letters are checked when they come in as to fulfilling the requirement and the file will not be completed, nor moved on to evaluation by the committee, if they require 2 science instructors.
What schools did you find do not require this?
The schools I found don't specify "2 sci, 1 non sci"..instead they vaguely mention "at least 2, at max 5"
Central Michigan University College of Medicine
Georgetown University of Medicine
The Warren Alpert Medical School of Brown University
University of Illinois College of Medicine
University of Washington School of Medicine
Michigan State University College of Human Medicine
University of Kansas School of Medicine
Saint Louis University School of Medicine
University of Arizona College of Medicine
University of California, Davis School of Medicine
The Commonwealth Medical College
The University of Toledo College of Medicine
Rutgers New Jersey Medical School
Rutgers Robert Wood Johnson Medical School
Cooper Medical School of Rowan University
Albany Medical College
University of Minnesota Medical School
Geisel School of Medicine at Dartmouth