The Billikens (10-2) had an early 11-point lead in the first half, but Indiana State countered with a 15-4 run to tie the game. Saint Louis closed on a 7-0 stretch capped off by a 3-pointer from Loe to grab a 34-27 halftime advantage.
Indiana State (7-3) was within five at the 12:40 mark in the second half, but Saint Louis surged away with a 21-10 run and led by 19 with 2:08 remaining.
Saint Louis, whose only defeats have come in narrow losses to ranked opponents Wisconsin and Wichita State, had an almost identical shooting percentage to the Sycamores, but made seven more 3-pointers. Austin McBroom had 15 points and Jordair Jett contributed 12 with seven assists.
Manny Arop led Indiana State with 16 points.
Colorado State graduate transfer John Gillon has chosen Syracuse, giving the Orange a potential starter at point guard entering the 2016-17 season.
DeSean Murray, who averaged 20.2 points as a sophomore at Presbyterian, will transfer to Auburn to play for coach Bruce Pearl.
Former Kentucky guard Ed Davender, the only Wildcat with at least 1,500 points and 400 assists, has died. He was 49.