BTW, I thought they combined the 4N (Med Tech (basic EMT) and 4H (aeromedical) AFSCs? I know they were supposed to be doing it when I left the AF in 2003. I was a cardiopulmonary tech (4H051)
That said, I don't recommend the Air Force. If you're even reasonably intelligent and assertive, you're likely to have a really bad experience. The distinct lack of respect both up and down the chain of command was disturbing and the promotion system leaves much to be desired. Also the deployment tempo- especially in aeromedically related operations- is horrible. Staying stateside is questionable at best and I would not exactly count many of the places you go as part of the AF as tourist destinations. More often than not, you wind up in places like "Camelflopp" as Mycrofft described it and as someone who flew a lot, I can say there were very few times we were anywhere nice for long enough to explore the local area.
All in all, if you want my advice (and this is a really sanitized review so that should give you some idea of how bad the experience of a lot of medical professionals in the AF is), I would tell the recruiter to go to hell and not look back. Some recruiters will try to tell you that you can't break the contract, but until the moment you take the oath of enlistment you can tell them to shove the contract where the sun don't shine.
I also suggest you look at:
http://www.medicalcorpse.com/ That is the website of a doc I used to work with in the Air Force who quit out of disgust a year from hitting his retirement eligibility. There is a reason why the military has a hell of a time recruiting and retaining physicians and the enlisted medical ranks where there is a high-paying or respected civilian counterpart (cardiopulmonary, radiology techs, etc) are not much better for retention. Most of the people whom I know that did stay in were sycophants (suck ups), marginal practitioners or had made rank fast enough (see the part about sucking up) that they could slack off and not have to really do much.
To give you the executive summary, I would renounce my US citizenship before I ever went back into the Air Force.