I wouldn't be much help here. Because EVMS is my top choice school I didn't apply to a bunch of schools. I applied to in-state schools and a couple osteopathic schools. Of course, applying to in-state schools for you is going to be pretty difficult. You should apply to schools you have connections to or have a specific interest in and a few osteopathic schools. I dont want to say you shouldn't just throw out applications everywhere you can, because it certainly has worked for people, but looking at your numbers, unless you've got some sort of extracurricular ace up your sleeve, I'm sorry. I really don't want to sound discouraging, but since you asked I'll assume you want brutal honesty. I was coming from a prominent state school, with some research work and shadowing experience at the med school I wanted, and I still got waitlisted b/c of my numbers. Incidentally, your at-the-cusp-of-competitive numbers make you an ideal candidate for this program.
Now, as far as how those numbers translate into future competitiveness after this program entirely depends on what you do in this program. As I said before, most med masters stay here at EVMS and are very successful students. For those who are accepted to other schools, I don't know anything about what they did in undergrad or otherwise that got them in. I dont know if they had awesome GPA's or MCAT's or if they had some awesome research publication or were dedicated to teaching blind impoverished children in the Sahara Desert or they got lucky or what.
Obviously, I am not the final word on how competitive you are. But if you're a run-of-the-mill student with run-of-the-mill numbers, my best guess at what you should be trying to do is as above: get in here, work your butt off, and get honors in your courses so you dont have to take them next year. Matriculate into EVMS, use your free time to head a club, do research, tutor, get honors in the few classes you do have, and study for the USMLE. With your new amazing honors in 5 classes, an extra year of USMLE practice, good research experience and leadership positions, go ace the USMLE and get into a residency of choice. The ability to pass out of classes that EVMS offers gives a really great opportunity for med masters to become some of the most competitive students.