I'm applying EDP this cycle.
I recommend contacting the schools and discussing your EDP candidacy. They will not guarantee you anything, but they can let you know if you are competitive with the typical EDP candidate. In my case, I went in for a quasi-interview with the admissions director at the school. During the interview, I gave them copies of my CV, transcript, and MCAT scores. Then she and the dean discussed my application and then emailed me their decision, encouraging my application through EDP.
The schools have virtually zero risk with EDP. If they don't like you they can decline your application and still have hundreds-to-thousands of applicants to fill the slots through the regular pool.
For me and my situtation, the risks are tolerable. Still, I wouldn't have done it if the dean and DOA hadn't given me the go ahead.