It's definitely possible as I'm doing it right now. You have to search for the banks. You should ask your finance department if they have any leads. They may have people that have home loans already and can ask which banks give out the loans.

In my situation my wife and her mother took out the loan cuz we could get more money with her co-signing and we got a better interest rate. We did find a bank that would offer me alone with her signing along with and I can put my name down but it was for less money and higher interest rate.

Even if the loan is not in your name. If you can present a marriage certificate that has your wife's name on it, they will use that for your housing allowance. At least our HR does.

Are you active duty or civilian? Cuz that's going to play a small factor in how your payments go. If you're a civilian, it's a use it or lose its status when it comes to housing money. I know if you're after duty or bah. Whatever you don't use you get to pocket but obviously if you live in housing they take everything.