The 32-year-old former University of Florida player was 6 under for the round and 11 under overall with three holes left when second-round play was suspended because of darkness. He will resume play Saturday morning with a 14-foot birdie putt on the par-4 seventh.
"It was kind of downhill and the greens were bumpy," Stegmaier said of his decision not to putt out. "They'll be better in the morning. It was a no-brainer."
Stegmaier eagled the par-5 16th on his opening nine and had four birdies on the 15 holes he was able to finish at TPC Summerlin. He earned a tour card in the Web.com Tour Finals series.
"A month ago I wasn't even guaranteed Web.com status for next year," Stegmaier said. "Just kind of turned it on at the end of the year, figured a couple things out."
Former UNLV player Chad Campbell was a stroke back along with Morgan Hoffmann and Tyler Aldridge. The 41-year-old Campbell had a 4-under 67. He won the last of his four PGA Tour titles in 2007.
"This course, you've got to keep making birdies," Campbell said. "You know, there's a lot of par 5s out there that are reachable. I think in the past it's been at least 20 under wins, so you've got to keep making birdies and keep being aggressive."
Aldridge birdied three of the last four holes, hitting a 134-yard shot to inches on the par-4 18th.
"Honestly, I was just playing a little right and had a little bit of a draw and landed right next to the hole," Aldridge said. "I've been hitting it well all week. I was playing a little conservative, a little right of it, and the wind was off the right, and I just hit one in there close."
Arriving at the course at 5:30 a.m., the Web.com Tour graduate completed a 64 in the morning for a share of the first-round lead.
"I'm tired," Aldridge said. "I'm going to go home, get some rest, and be ready for tomorrow."
Hoffmann shot a 66, and Aldridge had a 68.
U.S. Presidents Cup player Jimmy Walker topped the group at 9 under after a 67.
Rickie Fowler followed his opening 72 with a 65 to reach 5 under. He eagled the par-5 13th in a back-nine 30.
LPGA Taiwan Championship: At Taipei, Taiwan, Ji Eun-hee took a one-stroke lead over Lydia Ko on Friday, overcoming back pain and a double bogey in windy and rainy conditions. The 29-year-old South Korean player finished with a 3-under 69 to reach 9-under 135 at Miramar.
Ji won the 2008 LPGA Championship and 2009 U.S. Women's Open, both majors, for her lone LPGA Tour titles.
England's Charley Hull and China's Lin Xi-yu, both 19, were tied for third at 7 under. Hull shot a 69, and Lin had a 70.
Hong Kong Open: England's Justin Rose shot a 4-under 66 Friday to take a one-stroke lead over Denmark's Lucas Bjerregaard. Rose had a 9-under 131 total in the event sanctioned by the European and Asian tours. Bjerregaard also had a 66