Loe's trey with 44.1 seconds left in regulation pulled the Billikens into a tie. The senior opened the overtime with another 3-pointer and Saint Louis (20-2, 7-0 A-10) went on to a school-record 14th consecutive victory.
Loe ended with a career-high 23 points. Jordair Jett added 18 points and five assists for the Billikens.
Bryon Allen netted 11 of his 30 points in overtime to keep it close for the Patriots (7-14, 0-7).
Patrick Holloway came off the bench to put in 15 points.