Welcome to RTA!
Looking at my own maps (paper maps), I would recommend I-59 to I-20/59, to I-75 to I-40, I-81 and I-64. I believe this is the 2nd (gray) option on the Google map. First off, it avoids Atlanta - horrid traffic. But more importantly than that -- if you wanted something beautiful, you could have a little time to drive over to Great Smoky Mountains National Park. (Get a paper map and you'll see it on the map in southern Tennessee.) Also, along I-64 at Waynesboro is the entrance to Shenandoah National Park's Skyline Drive -- 105 miles of beautiful views.
Donna