Be aware that this area is a zoo for two weeks in June....first is the CMA festival which is June 5-8 this year. That is right in Nashville and unless you want to attend the festival I'd avoid that weekend. The following week, June 12-15 is Bonnaroo, a bit southeast of Nashville in Manchester. You should be ok unless you plan on traveling I-24 between Chattanooga and Nashville that week, which has a history of basically shutting down during the heaviest festival traffic. It's far enough from Nashville that, other than traffic impacts, it shouldn't impact a stay during that time.