When I did that back in undergrad at UWO, some friends and I booked a room at Caesars Windsor Hotel, we were able to take a bus to the game and back, stopping at Caesars Hotel. Was so easy, fun hotel as well, and you don't have to worry about staying downtown Detroit.
We were really only around the area of the arena pre/post game, so it was pretty packed with hockey fans so I had no fears about being in a "bad" part of town or anything. Saying that, I would probably feel uncomfortable going down some of the streets not too far from the Joe.
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