We are dual military and both receive single rate BAH. If we accept on-post housing will both of our BAH be forfeited or only one?

Not 100% on how it works for officers, but my wife and I are both active. We both receive the "without dependent" rate, but on-post privatized housing charges us at the "with dependent" rate. So they take a couple extra hundred out of her pay and I just reimburse her the difference and throw the few hundred left over into our savings.

Take a good hard look at the housing on post. Privatized housing has really turned out crappy for a large majority of us and I am very unlikely to ever live on post again. The cost to benefit ratio is generally not there. I realize this is not what you asked but having dealt with privatized housing, a share I felt important.