This is some really great info. What do you mean by timing my flight physical will be difficult?
Flight physicals can take a while to complete (fasting for blood work, meds to do eyeball exams, etc.) and it could be weeks to finish all of the tests and then submit paperwork if you need waivers (and you will likely need waivers. I haven't met a single person in the Aviation community who doesn't have a waiver for something, no matter how innocuous). This takes time and you'll need to get in cozy with your friendly neighborhood flight surgeon. The dudes in Mayport are the bomb and Mayport is small enough that they're rarely overtasked and too busy for you. Norfolk on the other hand, good luck ever getting an appointment. This is something you need to take into account in your timeline, because no up check on your flight physical means no zooming around in Navy aircraft.