Sadly, I have to admit that you'll probably have more success in Nashville than Nooga. There aren't may of us on here who play in Nooga, although I'd love to have you visit. If you do decide to visit Chattanooga, it seems that the best places to stay are near the Hamilton Mall - Shallowford Road. There are a number of hotels in every price range in that area.
Sadly, if you do visit after this week, I'm going to be gone for a few weeks...sigh.
Hope you do decide to visit Nooga, especially if it's when I'm here.