As far as gulf lows are concerned, I found only three sub 1000 mb lows since the late 1800's that gave Atlanta 3.5+" of SN/IP. One was the ~977 mb 3/1993 blizzard, which was a very rare storm that gave major snow after a changeover from rain that occurred before it passed. The other two lows were in the high 990's.
For the remaining 30 something major SN/IP, the lowest pressure while in the gulf was 1000+. The average is not too far from 1010 mb and a few were as high as near 1020 mb. So, the best chance is from a weak low/overrunning. Some of the biggest SN/IP in Atlanta were from very weak lows (1015+).
The track is almost always through either SE GA or north FL though a few went through central FL. Actually, that is also a common track for many of the big well inland AL/NC/SC big snows as well.