I got married at the E-2 RAG, and that was challenging enough - in our case, it was not so much for the BAH as the co-lo card (and a magical thing it is, the mil-mil co-location). We had a nice big fancy Jewish wedding, chokers, swords, kippahs, the whole bit. Did it over a long weekend so that my groomsmen could road-trip it up and back.
It can be done, but if you're set on a church-wedding, I'd say wait at least until you're at the RAG and have a more solid idea of your schedule and future. The VTs are very unpredictable and they will not much care about your nuptuals. "Wedding? Well, we need you go on a cross-country this weekend to meet our production numbers. So tough balls."