Married a month ago to civilian in AIT. Where do I go for BAH to be applied, plus backpay, and where do I get help with applying for housing?

You're saying that finance turned you away? That's prime time for an ICE complaint.
However, it will probably be easiest for you to PCS, apply for BAH at your new unit, get your home, and then have your wife join you.

1. If you graduated, then you no longer belong to TRADOC, but your unit at Ft. Irwin technically. 2. When you arrive at Ft Irwin One Stop to in process- that all your marriage paperwork with you to get it processed. After you are assigned to a unit, or better yet, take your wife with you to One Stop and you can get her an ID card and get her enrolled in DEERS.

Wow, did you speak to your unit first. It is not a norm to be married during training. Training units are not generally equipped to have quick solutions as it is not the norm. Yo need to go to the base in and out processing if the training unit does not understand. Gaining housingthere is highly unlikely. The best you can hope for is BAH., which can take a pay period or two. As for your gaining unit, you can do nothing until your wife is added to your orders. That happens at the same building as does your BAH authorization orders to will take some time. Go to the 1SG and ask for help. Please retain this as a lesson learned for your future Soldiers. You may not need permission in the US to get married it is wise to work through all of the requirements associated before you do. You may be forced to PCS without your spouse. All of this pain could have been avoided by speaking with your COC. Thank you for your service and good luck.