Stray comments on what has already been said:
The University of Michigan Golf Course requires a student, or staff member or alumnus or donor to make a tee time, with appropriate i.d. That's a very large pool, and therefore isn't too hard to get on. I'd be happy to make a time and play it with any GCA member.
They cut down a couple hundred trees during the Art Hills renovation. They could cut down a couple hundred more. They did a lot of bunker work; they could do more. It is a good layout, with some very fine MacKenzie-looking greens. It is not maintained as well as the much less remarkable Hills/Matthews Forest Akers courses at Michigan State in E. Lansing.
Out that way, Eagle Eye (and only Eagle Eye) in Bath/Lansing is very much worth the trip. Caution, purists; it has a duplicate of TPC Sawgrass 17.
Warren Valley is a hidden gem. The greens are shaggy. The drainage has been neglected. But it is every bit as good a Ross layout as the high-priced private Birmingham CC or the lower priced private Western G & CC. And all three look like they could all be part of the same three-course club. All are traversed by small tributaries of the Rouge River system. I am guessing that Ross spent little time at all three places. But you can tell he was there at Warren Valley despite its poor condition.
Shepherd's Hollow is actually a very good example of Art Hills' work in my view and very enjoyable as such.
Glen Oaks is a very functional/serviceable course where you can actually stretch out and hit driver on a few holes. Mature specimen trees, marred only by the addition of out-of-character 2nd and 3rd holes that were later additions. Hateful, cramped little bastard holes. Terrible slow play problems.
The Orchards is in the far northern east-side suburbs. It hosted the 2002 USGA Public Links, won by Ryan Moore. It is a good test of golf, with absolutely no discernable charm whatsoever. It is a new golf course and looks like it.
The best course that no longer is was Rochester GC; secret home to a flock of the Detroit area's best Publinx players. Also an old former-private-club, with a generous mature layout and gorgeous trees that did not get in the way of the golf. It is all gone now, to build housing.
It was always strange to me -- if I had to choose, I'd have happily allowed the golf world to abandon Rackham if we could have preserved Rochester GC.