Broll05,
Consider the FAP route: you go through school, get into a residency, then sign up. They pay a minimal monthly stipend while in school, plus a "bonus" for your loan payback.
Also, while technically true that the Corps has no medical personnel, they use Navy Corpsmen, Nurses, and Doctors. Thus, while assigned to a Marine operational unit, you dress the same, and are essentially a Marine. Your level of "marine-ness" depends upon your personality, and how hoo-ahh you are. Discussion of the medical corps' (lack of) military bearing is another can of worms that we can get into later on.
What was posted earlier about going through med school, internship, potentially a GMO, residency, then 1+ utilization tours as a gen surgeon, followed by an FTOS fellowship and plastics tours for payback is accurate. It's a long row to hoe, but one becomes inured to the time, and you learn to enjoy where you are. The money is better in the short-term, but you will lose out big-time long term. If your motivation isn't ultimate financial compensation, you'll never be hurting while in the Navy, so while not the most lucrative, it is certainly enjoyable, and you will have enough to be very comfortable.
Do yourself a favor: talk to actual Navy plastic surgeons. The Navy (joint-service) selection board is a much more interesting thing than first explained, and bears some investigation. Talk to civilian plastic surgeons. Remember that either way, you're matching into the single most competitive specialty, as measured by board scores. There are only ~80 categorical spots for plastics training in the nation, in fewer than 50 programs. Average board scores on USMLE are in the >250's-260's. There are multiple routes, including the fellowship route, where one first completes at least 3 years of a gen surg/ent/omfs residency, then matches, and there are few more spots there. Point being that plastics is a tough match, and you'd better be top of your class.
My advice would be to start with the intern coordinators at each of the three major Navy hospitals: Balboa (San Diego), Portsmouth, and Bethesda. They can get you in touch with the plastics people, who are usually very willing to help out an up-and-comer.
Best of Luck,
Navy LT
(posting under my wife's account)