This kind of jives with what I was wondering about last season. To my untrained eye, the fielding accolades that were bestowed upon him didn't quite match what I thought was a middle infielder with a poor lack of range. He did seem to fare well in the shift in shallow RF. I don't disagree that he's got a pretty strong & accurate arm.
Moving him to 3B seems too simplistic to me. He hasn't played 3B since his rookie season. He's got the arm for it, but does he have the instinctual movement for most plays at the hot corner?
If the Tigers can acquire a better 2B than 3B, then sure, try Schoop at 3B. ideally they can upgrade at both positions and luck into some versatility whereby Schoop is a RHH IF to a LHH OF. Seems doubtful, but who knows.