I d say best chance would be January. That seems to be when we get snow (IF ANY AT ALL). Although last year Atlanta got snow once in March, but nothing in January. If you are gong to make a road trip to see snow you are better off traveling to Asheville, NC to see it or if you can the western side of Virginia near Lynchburg. You have a better chance of seeing snow there than you would in Georgia or north Georgia.
Actually, we ve had snow in March...and only in March for the last two years in Atlanta. However, if you re looking specifically for snow, just head up to the North Georgia mountains in Feb. You should see some, depending on how long you stay. Your best bet though, is get a plane ticket to Cleveland OH. You ll never want to see snow again.
Anytime from Novembere to March but it is not very often. Check the weather before you go- North Carolina is just across the border and has higher mountains where there would be a better chance of snow. Your best bet is January and February.
It rarely snows in Georgia. If you want the best chace of seeing snow this winter you ll need to travel up into western North Carolina.