West broke the school's assist record with 553, passing Ryan Bundey's 552 from 1994-98. Woodley became Northwestern State's only sophomore to reach 1,000 points in his career when he started the game with a 3-pointer.
Nicholls was up 43-35 with 14:28 left in the second half when West hit a jumper to start a 13-2 run for a 48-45 lead with 10:30 left. The Demons followed that with a 21-3 run and coasted to the win.
T.J. Carpenter was 4 of 7 from beyond the arc for 19 points for Nicholls (7-17, 4-10). Sam McBeath grabbed 14 rebounds.