Well my field is education policy, so the degree is in the graduate education school of each university I've applied to, but the program itself focuses on policy and research mainly. I think that means they count as the graduate school and not a professional school...the degree is an MA, also. The good news is that all of the universities I've applied to have signed the CGS, so that's very helpful to know!
I definitely don't want to go back on accepting an admissions offer if I can help it. I suppose I'll find out more tomorrow when I contact them - if your point about not accepting an offer until you've received a funding package stands, though, that at least gives me some extra time where I don't have to feel pressured.