Following up on Post #9 by @mathprof63, look at Case Western Reserve University: it has a Pre-Professional Scholars Program with conditional admission into it’s medical school, http://bulletin.case.edu/bulletinarchives/2013-14/undergraduatestudies/gradprofessional/#preprofessionalscholarsprogramstext; and Cleveland has some great medical facilities right around CWRU. Even if you don’t do the Pre-Professional Scholars Program, CWRU has excellent undergraduate science departments; and they give merit scholarships as well.
Miami of Ohio, one of the original “public Ivies,” is also an excellent university for undergraduate education; and your statistics likely would earn you some merit aid: http://miamioh.edu/admission/merit-grid/index.html