It’s a tough decision. The problem is even with Ann Arbors huge stock of apartments etc many are sold out. You can always find a place somewhere. Some of the co-op housing still has availability and are normally full by now https://icc.coop/.
Pro Hint : engineering and physics are really hard at Michigan. Some are weed out classes with some math classes like Calc 2. Make sure he is in the best environment to be able to study. I am sure he knows this from his brother. My senior son in Industrial engineering is going back the 27th.