Walkup finished with 22 points, 12 rebounds and five assists while Parker had 15 points, 12 rebounds and four assists. The Lumberjacks (12-3, 2-0), who also won their 11th straight overall, held a double-digit lead throughout the second half.
Ty Charles added 14 points and four steals for the Lumberjacks.
SE Louisiana (3-11, 0-1) took its only lead of the game at 17-16 on Dylon Maggio's three-point play with 11:28 left in the first half. SFA answered with a 15-2 run capped by Bobby King's jumper at 31-19.
Zay Jackson missed all six of his 3-point attempts but led the Lions with 18 points. Andrew Guillory scored 11 and Cedric Jenkins added 10.