The Panthers (6-11, 1/3 Southwestern Athletic), who ended a six-game losing streak, never trailed after Eleby's jumper gave them an 8-7 lead 4:46 into the game.
Bryant Purvis had 20 points and 11 rebounds for the Tigers (0-14, 0-5), who have lost 24 of their last 25 games dating to last season.
Prairie View A&M led 44-36 when it went on an 11-1 run over the next 3:10 to take permanent control. Blair had nine points during the surge, which ended with his layup that gave the Panthers a 55-37 cushion with 4:06 remaining.
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.