It depends on three things: how long you expect to be at Fairchild, what you would do with the house when you leave, and how the monthly cost compares with rent. Sometimes renting first is the right call, and I will tell you when it is.
Buying has costs at the start and selling has costs at the end. The longer you stay, the more time the house has to cover them. If you expect a short assignment, that weighs toward renting or on-base housing.
You have two exits: sell, or keep it and rent it out. If you would rent it out, look at what similar homes rent for and who would manage it while you are stationed elsewhere. Homes near the base tend to draw steady interest from incoming service members.
Put your BAH next to a full payment: principal and interest, taxes, insurance and any HOA dues. The payment calculator on this site does that with your own figures. Then compare it with rent for a similar home, and with on-base housing, which is privatized and run by Balfour Beatty Communities.
This is a real conversation, not a sales pitch. Ask me and I will tell you which camp you are in.
Tell me what you are looking for and I will line up homes, run the payment on each one and answer the questions a listing can’t.