It is my understanding that Chattanooga Golf & Country Club is currently closed or is going to close soon to undergo some kind of renovation project. I did not hear this from a member but from someone in the know in Chattanooga. I have not personally played there, but those people I know say the course has been changed drastically over the years.
I echo the sentiment to avoid Brainerd. The Farm is a really good alternative that has just undergone some renovation work in the last year. Black Creek, Lookout Mountain, and the Honors are the three of choice in the Chattanooga area. If you want to drive a bit, Holston Hills is only a couple of hours away and is excellent as is Cherokee.