'You just tell yourself it only takes one week,' said Brigman, who won $81,000 to move to 31st on the Nationwide Tour money list, assuring him a place in the Tour Championship in two weeks. 'I came into this week with nothing to lose and everything to gain.'
The win was Brigman's first on the Nationwide Tour.
Daniel Chopra carded a 4-under 68 on Sunday and finished fifth at 14-under-par 274. Wes Short shot a final-round 70 and took sixth place at 13-under-par 275.
Brigman tallied five birdies in his flawless round on Sunday but had to sit and wait for the other groups to come through. He was in the clubhouse at 16 under par and felt the strongest pressure from Dufner and Hensby.
Dufner was one-over on his front nine but collected birdies at 12, 14, 15, 16 and 17. He needed a birdie at the 470-yard, par-4 18th at Midland Country Club. Dufner missed an eight-footer for birdie at the last and finished with a 68 on Sunday.
'The front nine was a disaster,' said Dufner, who took the No. 11 spot on the money list. 'But I can't complain because I should have enough money now to get my Tour card.'
Hensby matched Brigman in first with birdies at 15 and 17. He hit a poor tee shot off the 18th tee and left with a bogey and a round of 2-under-par 70.
This marks the third runner-up finish for Hensby in this event. He finished second in 2000 and 2002 and thought about a way to finally break into the winner's circle.
'I guess I need more than a one-shot lead coming into the final round because I always end up getting beat by one shot,' said Hensby, who moved to No. 5 on the money list, basically assuring himself a PGA Tour card next year. 'Congratulations to D.J. though. To shoot 6 under today is great playing.'
Walker posted a 5-under 67 on Sunday.
George McNeill (67), Charles Warren (69) and Steve Gangluff (69) shared seventh at 12-under-par 276.