Playing alongside good friend Hurley, Stroud birdied four of his first five holes but gained no more ground.
Chappell's round included holing a 35-yard pitch on the par-3 15th after a poor tee shot.
Chappell's only top 10 finish of the season came at Colonial. But this week, he's at ease amid the mountains, Howard's Creek running through the Old White TPC and the rest of the resort's atmosphere.
"You know, the course has a great flow to it, just at peace out there," he said. "All the running water and all the good scenery just puts me in a good spot."
Matteson holed a 35-yard pitch on the par-3 15th and needed just 19 putts — one shy of the PGA Tour record held by eight players.
"It was unlike any day I've had this year," said Matteson, who had missed the cut in 11 of his previous 13 tournaments. "I just haven't been getting it in the hole all year, and to have a day like this really kind of turns things around."
Bubba Watson was among five players at 5 under. He shot 67.
First-round leader Jonas Blixt had three early bogeys and shot 73 to drop into a tie for 25th at 3 under.
FexEx Cup points leader Jimmy Walker (75) was among those who missed the cut. He finished 5 over.
Ninety players advanced to weekend play at even par or better. Patrick Rodgers shot 75, but at even par for the tournament he made his third straight cut since turning pro.