Turnesa holed a nine-foot par putt on the final hole to complete two rounds at the Annandale Golf Club in 11-under 133.
John Daly shot a 67 and found himself tied for ninth at 137, one of his best starts to a tournament this year.
This is the first of seven tournaments that make up what the PGA Tour refers to as the Fall Finish. Turnesa is 169th on the money list and a victory would ensure a spot among the 125 players who will earn playing privileges on the tour next season.
2014: The Year in Music [PHOTOS]