I'm willing to bet that there are, you just don't know about them. I used to be ATC at PTK and belonged to a club. There were quite a few of them at PTK. I know that there is at least on in Ann Arbor, becuase I looked at a Cherokee that they had for sale. I suspect there are others at the other airports on the west side of Detroit. The same for Lansing and Brighton. I don't know your area well, but these should all be under an hour away from Clarklake.
My recommendation is to show up at the local FBO on Saturday morning and ask the old cronnies sitting around drinking coffee if they know of any clubs. I'm sure that they'll be able to rattle the names off the top of there head.
If that doesn't work, find four or five buddies in Clarklake and go out and from a club. It really depends on how bad you want to fly and keep your costs to a minimum.