The estimates I've seen suggest there will be a visitor load of 1 million people. Nashville is the biggest city in the 2500-mile eclipse path, possibly the only one of substantial size. A lot of people will want to get into position early (although the eclipse itself isn't until 13:27, there will be 2-3 hours of partial eclipse before and after), and some people will be driving into town that morning. An article I saw earlier in the week was predicting traffic issues all over the place.
Actually, the worst aspect may not be the traffic per se but people stopping to gawk and I'll bet parking will be horrid.
wg