UMich has one of the best SW programs I believe. There are different tracks, correct? I think that makes a difference as far as how clinically oriented they are. My co-worker got her masters there - she does program evaluation work, but she mentioned once that many of her classmates were getting licensed (which i don't believe you do unless you want to do clinical, as it is a clinical licensure).
I will say/ask this: Do you intend to do private practice? I ask because I feel as if that is the goal for many Psy.D.'ers (though certainly not all). My understanding is that although you can do private practice with the LCSW, it is not all that common, and with any private practice, there is a lot of start up difficulties. State to state will also depend on insurance stuff as well. If you want to do community agency/hospital work, the LCSW is a better bet, but if private practice is your goal, then the Psy.D. would be better. UMich is a great program, but I think whether you want to be a LCSW or a licensed psychologist is ultimately the real question.