Weather delays totaled about 4 hours Sunday and Moore made a par putt at the 72nd hole in near darkness, forcing Monday's the sudden-death playoff with Woodland.
Moore, the third-round leader, was 2-under 70 in the final round while Woodland shot 3-under 69. They are at 14-under 274.
Moore is looking for his third PGA victory. His most recent was in October 2012 at the Shriners Hospital for Children Open. Woodland, who won in August at the Reno-Tahoe Open, is also seeking his third PGA Tour title.
They were in the final group of the day along with Stroud, who dropped back with a double-bogey 6 at the ninth hole. He stayed close with three birdies over Nos. 10-14 but never caught Moore and Woodland.
Woodland started strong with a three birdies in the first five holes and was even the rest of the way with two birdies and two bogeys. Moore had two birdies and a bogey on each side Sunday, with birdies at 14 and 16 putting him at 14-under.