If there is a male gay character, there has to be a story to it. Perhaps finding out one of the airmen is gay and focusing on the struggle of both that character to balance who aspects of his life that are in direct conflict and conflict of the unit on whether they can accept him.
Why does there have to be a story? Why can't him being gay be mentioned every now an then in passing, in similar situations as to when a heterosexual male character remarks about some attractive some girl is. Keep it light, normal, not in your face. Have the male character behave, act and talk like all the others, no camp rubbish.
Why must there be a struggle and an unhappy gay male? Just make him a normal character on the show, who happens to fancy guys. If you can't show him to be a military officer (didn't Obama say he was getting rid of that antiquated rubbish?)... then just have him as a civilian. Problem solved.
There must be struggle and an unhappy gay male because that's how it would be in real life for a person in that situation. Do you want something real that serves a purpose or a publicity stunt? For most of the adult population there is an unease of homosexuals and that's even higher in the military. For most of use we start off homophobic and then our misconceptions are defeated when we grow older and realize they're just like us and even there's still probably going to be a hind of unease. Should it be like that? No, but that's the way it is.