From my data crunching using the MSAR
Schools and the percentage of non-state matriculants
Georgetown University School of Medicine 98%
The George Washington University School of Medicine and Health Sciences 96%
Uniformed Services University of the Health Sciences F. Edward Hebert School of Medicine 93%
The Warren Alpert Medical School of Brown University 91%
Creighton University School of Medicine 89%
Howard University College of Medicine 89%
Washington University School of Medicine 88%
Duke University School of Medicine 87%
Dartmouth Medical School 85%
Meharry Medical College School of Medicine 84%
Tulane University School of Medicine 83%
Harvard Medical School 82%
Yale University School of Medicine 82%
University of Ottawa Faculty of Medicine 81%
Case Western Reserve University School of Medicine 80%
John Hopkins University School of Medicine 78%
Vanderbilt University School of Medicine 77%
Boston University School of Medicine 77%
University of Pennsylvania School of Medicine 76%
Northwestern University Feinberg School of Medicine 75%
Tufts University School of Medicine 73%
University of Pittsburgh School of Medicine 72%
University of Vermont College of Medicine 72%
Columbia University College of Physicians and Surgeons 71%
Drexel University College of Medicine 71%
Saint Louis University School of Medicine 70%
Mayo Clinic College of Medicine Mayo Medical School 69%
New York Medical College 67%
University of Chicago Division of the Biological Sciences, the Pritzker School of Medicine 66%
Weill Cornell Medical College 65%
Mount Sinai School of Medicine of New York University 65%
Emory University School of Medicine 65%
Albany Medical College 62%
New York University School of Medicine 60%
Jefferson Medical College of Thomas Jefferson University 60%
Wake Forest University School of Medicine 59%
Medical College of Wisconsin 56%
Loyota University Chicago Stritch School of Medicine 55%
Rosalind Franklin University of Medicine and Science Chicago Medical School 53%
University of Michigan Medical School 52%
University of Rochester School of Medicine and Dentistry 52%
Albert Einstein College of Medicine of Yeshiva University 52%
Temple University School of Medicine 52%
Stanford University School of Medicine 51%
Pennsylvania State University College of Medicine 51%
Morehouse School of Medicine 50%
Oakland University William Beaumont School of Medicine 50%
Virginia Tech School of Medicine 50%
Loma Linda University School of Medicine 49%
San Juan Bautista School of Medicine 44%
Virginia Commonwealth University School of Medicine 44%
The Ohio State University College of Medicine 41%
University of Virginia School of Medicine 41%
Eastern Virginia Medical School 39%
West Virginia University School of Medicine 35%
University of Iowa Roy J. And Lucille A. Carver College of Medicine 34%
University of Cincinnati College of Medicine 34%
The University of Toledo College of Medicine 34%
University of North Dakota School of Medicine and Health Sciences 31%
Ponce School of Medicine 30%
University of Kentucky College of Medicine 30%
The Commonwealth Medical College 29%
University at Buffalo School of Medicine & Biomedical Sciences 29%
Keck School of Medicine of the University of Southern California 28%
Oregon Health & Science University School of Medicine 27%
University of Illinois at Chicago College of Medicine 27%
University of Miami Miller School of Medicine 26%
Michigan State University College of Human Medicine 26%
University of Louisville School of Medicine 25%
University of Colorado Denver School of Medicine 25%
University of Wisconsin School of Medicine and Public Health 24%
University of Central Florida College of Medicine 24%
University of Nevada School of Medicine 24%
University of Utah School of Medicine 23%
University of Maryland School of Medicine 23%
Memorial University of Newfoundland Faculty of Medicine 23%
Medical University of South Carolina College of Medicine 22%
Universidad Central del Caribe School of Medicine 22%
Baylor College of Medicine 21%
University of Minnesota Medical School 21%
Florida International University Herbert Wertheim College of Medicine 21%
University of California, San Francisco, School of Medicine 21%
Marshall University Joan C. Edwards School of Medicine 20%
Rush Medical College of Rush University 19%
State University of New York Downstate Medical Center College of Medicine 18%
University of South Carolina School of Medicine 18%
University of Connecticut School of Medicine 18%
Wayne State University School of Medicine 17%
University of Nebraska College of Medicine 17%
University of Texas Southwestern Medical Center at Dallas Southwestern Medical School 16%
University of Calgary Faculty of Medicine 16%
Stony Brook University School of Medicine 15%
Indiana University School of Medicine 15%
Sanford School of Medicine of the University of South Dakota 15%
University of Arkansas College of Medicine 13%
University of Alabama School of Medicine 13%
University of North Carolina at Chapel Hill School of Medicine 13%
University of Kansas School of Medicine 13%
University of Missouri School of Medicine 12%
University of Hawai'i John A. Burns School of Medicine 11%
Texas A&M University System Health Science Center College of Medicine 11%
University of California, Los Angeles David Geffen School of Medicine at UCLA 10%
University of California, San Diego, School of Medicine 10%