H E R E is the flattest route you'd be able to find. Highest point would be outside Chattanooga TN. I used Brunswick GA as a SE GA destination. Won't get much flatter and quicker than this.
Actually, you can...tried to re-route the map via a different way, but the map wouldn't hold it. Anywho...from Nashville, take I-65 all the way to Birmingham AL. From B'ham take US 280 south through Columbus GA and you could stay on US 280 to US 341 to Brunswick GA. Flat...flatter...flattest....! Most of this I've driven, the TN and AL parts, not all the way across south Georgia.