Six electives is definitely a lot. If you get one letter every time you do an elective, having a portfolio of 6 strong letters of recommendation would help very much.

As far as clinical/research electives after graduation -- you can do all the research you want after you graduate and sometimes if you're lucky enough, you'll get paid for it, but almost no place will accept a graduate for clinical electives. Places only take medical students for clinical electives -- after you're a doctor they expect you to pass the boards and start residency, not mess around with clinical electives.