Matheson Greens in Northport, MI a Gary Pulsipher design was open for about 10 years (1992 to 2002 I believe).
Skyline Golf & Ski Club in Grayling, MI a John Robinson design opened 9 of 18 holes (back 9 was cleared, but never seeded) in 2005 and closed last fall which would be about 2 years.