FYI, there aren't many easy avenues to become a Navy pilot through the Reserves. Outside of special cases, you need to have been active duty and trained/winged thusly before transitioning into the Reserves. Also, I'm not sure how many flying jobs are available as a Reservist. Most of my aviator reservist buddies were all driving desks. The National Guard is a bit easier but you still have to "rush" the squadrons for a spot at Undergraduate Pilot Training (UPT) which are few and far between.
Honestly, if you are dead set on being a doctor, then I would look into becoming a flight surgeon and serving that way. There are some positions that get ample flight time so you could still ride in military hardware. Not to mention, the military will help with continuing professional education and other medical training concerns.