Never been there but got some info on draper. Doesn't sound too great but it's closer to downtown than parkchester. Like a small dorm room with a sink and A/C. The bathrooms are shared with the floormates. It's located at metropolitan hospital so it's not only nycpm students...there are residents and such as well living there.
I stayed at the parkchester (bronx) apartments and they were pretty cool. It's a few subway stops away from nycpm and the area seemed quite nice and safe. Fully furnished with internet, television, digital cable, etc. There are 2 and 3 person apartments I believe. I understood they started furnishing the parkchester apartments so more students would live there while phasing out Draper. If I am wrong, please correct me!