The Swede was four shots ahead after a second-round 65 put him on 13 under. He lies four shots clear of compatriot Magnus Carlsson, with first-round leader Merrick Bremner also on nine under but with four holes left of his second round.
The second round will resume at 7.30am local time on Saturday, with those yet to complete their 18 holes returning to the markers laid when play was called off at around 5pm local time.
Round three will be a two-tee start no earlier than 10.30am.
Stenson teed off on the 10th after a lightning scare saw players called off early in the round. A slow start moved into a superb round, with a pair of birdies in the back nine adding to a remarkable eagle at the eighth.
“It didn’t feel 100% on the range this morning,” six-times European Tour winner Stenson admitted. “It was a little bit of a trembling start, I made five pars so nothing great the first couple of holes.
“But I made a nice putt on 15, hit two good shots on 16 just short of the green and up and downed that one.
“I hit a great drive on 17 again, and made a nice 10-footer for birdie. So that kind of jump-started my day with those three birdies."