Check with Vi-Jon in Smyrna. I strongly suggest a visit in person, and ask them either for an application or a reference for whichever temp agency they are using now. They have a massive warehouse off of Couchville Pike (Mt. Juliet area) and also a large warehouse and manufacturing facility near the airport in Smyrna. Both make heavy use of skilled towmotor drivers and both facilities run 24/7.
As long as you are punctual, reliable and flexible -- meaning willing to work a lot of hours -- they will keep you very busy. My neighbor has driven a towmotor for them for years now and I worked there briefly as part of the IT department a few years ago. Not a bad company but it's not going to make you rich by a long shot.
They are located at 1 Swan Drive in Smyrna. They used to use All-Pro Staffing, but I have no idea if that's still the case.