Clint Jensen shot a 67 to join George Bradford at 2-under-par 138. Chez Reavie, Kent Fukushima, Craig Taylor, Darren Griff and Stuart Anderson were one shot further back at 1-under-par 139.
Woodard held a share of the lead after the opening round but found trouble early on in his second round with a bogey at the 12th, his third hole of the day. The American then birdied the 14th, but stumbled again with back-to-back bogeys starting at the 17th.
Woodard regained his composure on the front side with a birdie at the second and added a birdie at the fourth to move to 3 under. The 31-year-old, who won the Edmonton Open two weeks ago, picked up another birdie at the seventh to secure the outright lead heading into the weekend.
'I'll take it,' said Woodard. 'It wasn't as easy a day as yesterday, but I was able to make a couple of long putts and got up and down when I needed to. It's nice to have a little lead going into the weekend.'
Dirk Ayers fired a 66 to finish four shots off the pace at even-par 140. Ayers was joined by Brad Sutterfield, Jason Allred, Chris Wisler and Bryan Wright in a tie for ninth.
A total of 60 players survived the 36-hole cut, which fell at 5-over-par 145.