Most programs that give more than small grants are programs at private universities that already charge a lot of tuition. It's a way for schools to get full tuition from richer students while also capturing poor students who might have otherwise gone to cheaper schools. At the master's programs I looked at, it was never enough to reduce it to the amount you'd pay at a state school for a program of similar quality. I've never heard of a fully-funded master's in MFT/counseling/social work (someone correct me if I'm wrong), although you probably have a good chance of getting reduced tuition at a public university depending on your financial situation.