Done4,
I have looked at the pamphet I got from my local JAG office and this is what it says about BAH.

MILITARY MEMBERS
Basic Allowance for Housing (BAH)
You may be able to collect BAH at the dependant rate if your divorce decree or seperatoin agreement calls for child support. This money must be used to properly support your dependants; otherwise, it can be terminated.

Basically, the answer is yes but child support needs to be put into writing into the decree. He then uses that decree to get the BAH, then you get the money to support taking care of the kids. I know from experience that this process doesn't always work. good luck