Covington is on the east side. Look at Hwy 138E to 78 East (Monroe/Social Circle, GA) and then53 west to Winder, Gainesville, Dawsonville, Jasper. Loop through the foothills on 53 to I-75 on the north side of town and catch I-75 at Calhoun, GA. Stop for lunch at the Dawsonville pool room if you get there around noon. It's a local place downtown with lots of "atmosphere."
It's a long ride, but the 53 part is very nice. Atlanta's big. If you go through, go very, very early. Traffic gets bad starting around 6:30 am.