according to antmaps this ant has a single dot around Chattanooga. don't know if that is a single study or sighting but this arboreal species of Camponotus is not common here. Then again maybe just not reported, because I have one from what it appears.
Antmaps only includes official records of a species, which are specimens that have either been submitted to a museum/collection, or were identified in a research study. The density of their records are mostly dependent on how often studies/surveys are done in that state, as well as how many locations they cover. Due to this, websites like antmaps are sometimes not very representative of ranges at the in-state level. I checked iNaturalist, and they've got a lot more sightings around Chattanooga (and Tennessee in general), but community-based sites like that can sometimes have inaccurate identifications, and might be biased by where people happen to live, since more people=more observations. Overall, it's best to take multiple sources into consideration and not rely too heavily on one for this sort of thing. Ants in general are usually undersampled.