When driving through Atlanta DO NOT stay in the right lane..... You need to get over one or two because the right lane always turns into an exit only lane, and it happens multiple times while going through downtown. And try to drive through downtown in the 10am-2pm range for minimal traffic (it's still going to suck though).
Where are you planning on stopping for the night? I live in Dayton and can usually get to southern Georgia before I have to hang it up for the night. There is a really big rest stop about 50 miles north of Valdosta that we stayed at last month that was pretty nice. Also right at the KY/Tenn state line is a really neat rest stop that looks like a log cabin. It's a good place to stretch your legs before you tackle Jellico. Fuel up in Corbin KY and you'll make it all the way into Georgia before needing to stop again which is nice because some of the gas stations in Tennessee are less than ideally situated since they are crammed on a mountain side.