My understanding is that med schools will not accept your application if your school DOES HAVE A COMMITTEE and you didn't get a recommendation from them. You CANNOT substitute 3 science/2 non-science letters for a committee letter so long as your school has a committee.
As for the SUNY Buffalo EAP program, it's open to all students in all colleges. You don't even have to be a NYS resident to apply! I don't think it's particularly selective though, but that may be because it's got such a small applicant pool. I know a guy who went to a rinky-dink college, scored just over 1,000 on the SATs, but had a 4.0GPA and got in.
Tim W. of N.Y.C.