Vance made three of Alcorn State's seven 3-pointers and Hampton grabbed nine rebounds. Alcorn State made 20 of 36 free-throw attempts compared with 11 of 15 for Louisiana College.
Alcorn State, in its final non-conference game of the season, led just 30-28 at halftime after shooting 37.9 percent from the field but they made 53.3 percent in the second half.
Kevin Lewis led Louisiana College with 20 points on 8-of-21 shooting. Anthony Gaines Jr. added 17 points for the Wildcats, who were 4 of 20 from 3-point range.