Do an MBA. You'd benefit from having an internship during your 1st and 2nd year of your MBA and the network you get will pay off in spades. With 10 years of military experience you should be competitive at many great schools. The Mfin is really ideal for those with 2 years or less experience. While it can be used by people with more experience, it is better to go with the flow (IMO).
Have you taken your GMAT yet? What is the rest of your profile like?
Master in Finance HQ