Burr scored McNeese State's first five points of overtime and added two free throws with 17 seconds left for a 76-73 lead. Mitchell Badillo answered with a layup but Tevin Jackson hit two free throws with seven seconds left to give McNeese State another three-point lead.
Badillo and Burr both split a pair from the line in the closing seconds.
Badillo led Incarnate Word (9-8, 4-2) with 21 points and Derail Green added 18 points with eight rebounds.
Badillo hit two free throws with 1:22 left in the second half to tie it at 67 and neither team scored again to close regulation.