Air Force
I did love my Army years as an avionics mechanic, but I joined the Army alongside my husband of three years—we were on the buddy plan—and they kept us together, as promised. I would never have selected avionics, but I wanted to insure that I went to school with my husband. My scores allowed me to choose my MOS.
For a young woman, I recommend the Air Force. Admittedly, you don’t make rank as quickly as in the Army, but the overall conditions and situations are superior in the Air Force.
I used my (VietNam Era) GI Bill for college, but two babies prevented me from taking many courses while enlisted. Keep your goal in sight, and understand that it will be tough to be an Air Force member and a student. It will be difficult to isolate yourself in studies; but your goal looks to be worth it.
As far as a career in medicine: Are you considering becoming a Physician’s Assistant first? Since your looking for a means of financing your education, this might be a good interim goal.
BEST OF LUCK! What an adventure!!!