If you are geobaching, I think the best strategy would be to find the cheapest place possible and rent. Perhaps even a room in someone else's home or a little basement apartment.
You are going to be paying for two households and unless you have some special circumstance, you will only be getting one BAH.
And have you looked in that price range to see what is out there? And then comparing that to rent on similar properties? We are currently looking in the Alex/Arling/CrystalC/PentagonC area, but you'd need almost double that budget for nearly anything. And houses that would cost about $700k would rent for about $3000k, so there's no way you could get anywhere near 1% rule unless the Bethesda is very different.
We will be going on 3 year orders and haven't even really considered buying because the numbers don't work, and that doesn't even factor in the pain of being an absentee landlord, which we are already doing once and really don't want to do again. And if we were going to be maintaining two households, the priority would be 100% on cheap.