I know this is an old thread and you probably don't need the recommendation anymore but maybe someone else will find it useful. The Wilderness Club is one of the best courses I've ever played. It's about a hour north of Whitefish
Joining a private club 2 years ago was the best golf decision I ever made. I still play other public courses sometimes but I will always have a membership at a private club from now on. The flexibility and pace of play alone make it worth the cost.