Ok thanks - I talked to someone in admissions at Yale and they specifically said you don't have to have a special compelling tie to Yale (i.e. spouse, kids, etc.) to apply EDP but they really look for people who will be a good fit for Yale (i.e. independence, research, etc.). Not sure if that's the truth or just the admissions spiel, but definitely something to think about.
Would applying EDP make any more sense for me if I were 100% ok with taking a 2nd gap year if necessary? I also heard that most people who apply EDP (in general, not specific to Yale) usually talk to adcom before they apply and adcom gives them a wink if they should apply, so most applicants aren't necessarily going in blind. Also, do you know if Yale would reject you before the decision date if they knew you weren't a qualified applicant, or would they wait? My reasoning is they don't want to intentionally screw you over if you have no chance of getting in.