Chattanooga Municipal is preferable of the two, as it denotes service for other small communities, as well. I personally think "Chattanooga Regional" would be even more correct, as you generate air traffic and passengers from the entire Chattanooga region. The name "Chattanooga Airport" sounds like a small, general aviation airport with few or no corporate landings.
Since you now have aircraft coming in from Europe for Volkswagen, you might try to get an international freight carrier terminal, no matter how small, and then change the name to Chattanooga International Airport. That is what Charlotte/Douglas International Airport did.
Have to wonder how the doc puts that in a stabilized position to heal! LOL Let's hope that wasn't an 8 mm or 357!
Anyone who thinks Chattanooga is bad should try visiting Charlotte, NC. I live here now and every time a festival of some sort is held downtown, there is a police presence fit for a visiting Head of State, all in riot gear (just in case).
Chattanooga is my hometown and I love it there. Most visitors miss the best parts and head for the tourist traps. My opinion of the N Crest and S Crest Roads is GREAT FUN TO DRIVE ON IN A SPORTS CAR! I cut my teeth driving on that road.