These motels are all within a very few blocks of the pub. You really could stagger home if needs be, or pay 5 bucks or so for a cab.

Jameson Inn of Conyers
1164 Dogwood Drive
Conyers, Georgia 30012
770-760-1230
http://www.jamesoninns.com
Rate Range: $65 - $70

La Quinta Atlanta Conyers Inn And Suites
1184 Dogwood Drive SE
Conyers, GA 30012
770-918-0092
http://www.laquinta.com
Rate Range: $59 - $119

Ramada Limited of Conyers
1070 Dogwood Drive
Conyers, GA
770-760-0777
http://www.ramada.com
Rate Range: $72 - $99

I recommend the Jameson or La Quinta as the nicest. There are other equally nice places, but these are literally no more than a few blocks.