Arron Oberholser posted a 4-under 68 to finish one shot further back at 8-under-par 208. He was followed by Robert Garrigus (69) at 7-under-par 209 and Craig Bowden (71), who was alone in seventh at 6-under-par 210.
Barron teed off at the 10th and managed two birdies and two bogeys to make the turn at minus 1. He picked up eight strokes over seven holes for a 28 coming in at Kemper Lakes Golf Club.
'I made a putt on two and I don't remember the rest,' said Barron, who needed only 21 putts to complete his round. 'I started rolling them in from everywhere and then boom we're done. I really didn't remember the whole nine to be honest. When you get in the zone you can do amazing things and I proved that today.'
Barron began the stretch with a pair of birdies from the second and added an eagle at the fourth to reach 4-under. He continued the barrage with four straight birdies starting at the fifth to complete the phenomenal run.
'I think we should play nine more today and come back and play nine more on Sunday,' said Barron, who was five shots off the lead to begin the round. 'I don't know how I did it, but I just got in a zone and didn't come out. I guess that's what you have to do to play great golf.'
Stiles, who is seeking his second victory of the season, also played the back nine first and picked up four birdies to make the turn at 6-under. Stiles added four birdies on the front nine but he ran into trouble with a bogey at the par-4 ninth for a round of 65.
'They call it moving day and that's exactly what Doug and I did,' said Stiles. 'We got out early and got through the back nine before the wind really picked up.'
Sauers, who held the lead after the first round, was one shot off the pace to start the day and briefly took the outright lead Saturday thanks to four birdies and one bogey. However, Sauers bogeyed the par-3 17th, his second bogey of the day, to move back into a tie for first.
Dawson also had an eagle on his round to go along with four birdies and one bogey for a 67.
Jimmy Walker and Richard Barcelo, who were two of the five overnight co-leaders, each managed rounds of 73 to finish at 5-under-par 211. They were joined by Scott Sterling (69) and Barry Cheesman (69).
Dave Stockton, Jr. also held a share of the lead after the second round. He carded a 74 to fall five shots back at 4-under-par 212. Brian Wilson began the day with a share of first but a round of 75 dropped him into a tie for 20th at 3-under-par 213.
Patrick Moore, the last of the second-round co-leaders, struggled with a 5-over 77 to finish eight shots off the lead. Moore, who is seeking his third win of the season, moved to 1-under-par 215 for the tournament.
Full-field scores from the LaSalle Bank Open