Stallings was at 18-under for the tournament, good for a significant advantage over second-round co-leaders Jason Bohn (1 under through nine) and Billy Horschel (one-under through nine), as well as Heath Slocum (6-under through 13).
Delayed by rain all week, the tourney was again held up Saturday. After a 3 1/2-hour stoppage, second-round play was completed late in the afternoon.
The third round will resume at 8 a.m. Sunday.
Stallings is seeking his second victory of his career after claiming The Greenbrier Classic last year.