Northern Michigan, especially in the Traverse City and Gaylord area boasts some of the finest courses in the country acording to Golf Digest. Courses like Arcadia Bluffs near Manistee and Shanty Creek near Traverse City as well as Tree Tops in Gaylord are great summer time courses to play as the weather rarely gets uncomfortable to play.
Here are some links fo ryou:
http://www.arcadiabluffs.com/ http://www.shantycreek.com/golf/index.html http://www.treetops.com/index.php?method=golf
You could stay very busy up there for at least a week and not play anything twice!