I don't know how EDP works at that particular school, like if there are specific cut off marks that you need to get into EDP. (USF has 3.7 and 30 req for EDP). But judging from your profile, if you applied to a broad range of schools, I'd think you'd have a chance of getting in somewhere decent. Since you are a La. state resident, I'd say that works in your favor. But again, and this is just my personal opinion, if in your shoes, I'd probably opt to apply the regular way but to a very broad range of schools since it is so crapshoot.
Of course, though, I also don't have any marriage or children to worry about that would cause me to apply only one place. Those who only applied to one school, were generally those that were married or had some serious family issue that prevented them from leaving to another city. But I knew of a few who did and got in.
The other thing I'll say is that if you don't get in this time around, consider doing a Special Masters Program like the one's at Rosalind Franklin, Georgetown, BU, etc. Those programs will give you a chance to take 1st year med school classes and show that you can handle it. I wish you luck, but because I don't live in La, and have not talked with others who have lived there I don't know much about the specifics of their EDP program. Hence, I only base my info on the averages and what you have given me.