Romeo Crouch scored 12 points with nine rebounds and Davon Bell added 11 points with nine assists for the Blue Hose (11-17, 4-11 Big South Conference), who outscored the Panthers 28-20 in the paint and shot 11 of 21 from 3-point range (52.4 percent).
Crouch's tip-in put the Blue Hose up 44-43 and they led by 14 on Dillard's free throws with 4:41 left. The Panthers closed to 67-62 on Jahaad Proctor's 3 with 48 seconds left, but got no closer.
High Point took control early and led by as many as 11 in the first half before Dillard's 3-point play sparked a 13-2 run capped by Bell's layup to tie it at 29 at halftime.
Proctor scored 20 points for the Panthers (12-14, 7-8).
Jim Calhoun, who has a career record of 873-380 and led UConn to three national titles before retiring in 2012, has been hired as coach at Saint Joseph.
Pac-12 commissioner Larry Scott believes a tentative ruling making show-cause orders illegal in California would threaten NCAA membership for state schools.
Guard James Bouknight, ranked 87th in the ESPN 100, is the first player from the Class of 2019 to commit to UConn and first-year coach Dan Hurley.