Schools for MHA

<p>Anyone knowledgeable about CAHME accredited MHA programs? Which programs are the easiest to get accepted to? I am definitely applying to Texas State University and Texas A&M-Health Science Center (and Baylor's Healthcare MBA) because they are all in my home state. However, I do not want to restrict myself to these three schools.
What top programs offer the highest acceptance rates? I am not very optimistic about applying to Cornell or Johns Hopkins but would like to apply to the best schools that I have an actual shot of getting accepted to.
Quick stats:
3.9 undergrad gpa (November 15 conferral)
Active Duty Veteran (Healthcare field - Hospital Corpsman)
5 years professional experience outside military (Not healthcare)
Goal: Healthcare Administrative Naval Officer
Extras- mostly just working full time while getting my BS, running marathons for St Jude Children's Hospital, volunteer national science fair judge, in the Navy reserves
Haven't taken the GMAT or GRE yet.
Cons: unknown (outside of the government sector) online undergrad institution-American Military University. Is regionally accredited by the Higher Learning Commission, North Central Association. </p>

<p>What do you think?
Here is the list of schools:</p>

<p>Arizona State University
Armstrong Atlantic State University
Army-Baylor University
Cornell University
Dalhousie University
Georgia State University
Governors State University
Indiana University
Johns Hopkins University
Medical University Of South Carolina
Pennsylvania State University
Saint Louis University
Simmons College
Texas A&M University System
Texas State University--San Marcos
Texas Woman's University
The George Washington University
The Ohio State University
The University Of Iowa
Tulane University
University Of Alabama At Birmingham
University Of Arkansas For Medical Sciences
University Of Florida
University Of Kansas Medical Center
University Of Kentucky
University Of Memphis
University Of Michigan
University Of Minnesota
University Of Missouri
University Of North Carolina At Chapel Hill
University Of North Carolina At Charlotte
University Of North Florida
University Of Oklahoma
University Of Pittsburgh
University Of Puerto Rico
University Of Scranton
University Of South Carolina
University Of Southern California
University Of Toronto
University Of Washington-Seattle
Virginia Commonwealth University
Washington State University Spokane
Xavier University</p>

<p>Should probably add that my major now is Environmental Science with a concentration in Environmental Technology and Management. My original plan when I started my degree was to get a MPH in Environmental and Occupational Health, but I have decided I am more interested in business in a hospital setting.
I will also be getting various environmental science certifications and hazardous materials certifications if that is worth mentioning.</p>

<p>I’m attending American Public University and plan on applying to various graduate programs. Have you had any luck applying to all those programs? Also, have you taken the GRE and GMAT?</p>