He came into the final round with a seven-point lead, but was challenged by Byrd, who racked up a single-day record 18 points. Byrd pulled within two points of the lead with a birdie at the 14th, but faltered from there, failing to pick up another point.
Woodland moved back to a six-point advantage with a chip for birdie on the same hole.
Romero earned eight final-round points.
Sole possession of fourth place went to Brendan Steele, who registered three points and ended with 33.
Sharing fifth at 32 points were Dicky Pride (eight points) and David Mathis (three).