I don't know how "ASAP" it will be. I belive they require licensure for one year before you can apply. I guess they don't want to teach you the job. After that, you have to wait for an OCS date, security clearance, and anything else required.
I have 14 years enilisted (8 active, 6 reserves) and looked into this, it would take me 3 years to become an officer, then I would have to spend 10 years as an officer before I retire so I decided to stay enlisted and only do another 6 before I retire.
Just remember, once you get high ranking, you won't be doing PT anymore. I know a PT in the AF that it a Lt. Colonel and he is the director of surgery doing administrative stuff.
The good part about the AF is that you do have a little more freedom in what you can do since you are not governed by any state. Some branches can prescribe drugs even though it's probably only Motrin (or "Vitamin M" as we call it), order x-rays, and more. Benefits are second to none but so are the hazards. If I were a little younger, I would have more seriously considered AF.
Good luck