I was a flight surgeon with the AF for four years and then got out to do a civi residency in FM. My experiences as a flight doc stood out heads and tails above other 4th year med students in the same boat. Even the more competitive residencies would still view real clinical experience as a plus. The experience of being a flight surgeon varies greatly from assignment to assignment. There are some really cool jobs, and there are some real slam your head in a door paper pushing jobs. If you stay the path hit me up down the road and I can give you some pointers depending what you want to get out of it. Personally I had a great experience, and I wouldn't change anything. I deployed five times and saw and did things that I'll probably never get to do again in my career. There are also people I know that never went anywhere and got stuck on a hell hole base churning out waivers and flying cargo planes for two years. It is a lot of luck when it comes down to it.
Also, despite people telling you not to do it for the money. It's really freaking nice not to have any debt, you will make more in the military as a flight doc than you will as a resident then later if you separate you can tap into the MGIB for residency (about 60k over three years).
Regarding the RAM, be a flight surgeon first for a couple of years first, if your still all about the admin side of it than think about it. Also realize that RAMS without any clinical residency are not the greatest of clinicians. The AF has started a joint FM/RAM residency that they are trying to push people into. It's honestly a way to dodge a lot of clinical work for the rest of your career, it just depends how you want to practice.