Yes or No. ????
Most often November is very pleasant in TN, but yesterday 11/21 we had a low of 25 F outside Nashville. There was snow in the Eastern part of the state around Great Smoky Mountains. I think we may have a high of the low 60's for Thanksgiving (the 4th Thursday in Nov) which is different than in CA.
Google to see the average first day of frost. When I was a farmer in TN we planned on the first frost on Oct 20th thus all the leaves will be brown by this time.
While the fall colors are nice, they are not as brilliant as the colors in New England.
If fall colors are what you wish for, I would suggest that around early-October to mid-October you travel east to New England (when I lived in MA the peak color was around Oct 12 -- CA's Thanksgiving) and then south (with the colors) to Pennsylvania. I know that this will add 100's of miles to your trip.