The Bison (8-7, 3-1 Patriot League) erased an early 13-point lead, storming back with a 16-3 run to tie it at halftime. They pushed their lead to seven in the second half.
Holy Cross (7-9, 1-3) reclaimed a three-point lead as Justin Burrell sank a jump shot with 4:34 remaining, but Brian Fitzpatrick and Hass each made layups and Frazier's basket with 42 seconds left capped a 6-0 Bucknell run.
Dave Dudzinksi sank two free throws to pull Holy Cross within one, but Justin Burrell couldn't connect on a go-ahead 3-pointer after a split pair of free throws by Ryan Hill.
Ben Brackney had 13 points for Bucknell and Ayers had 10.
Malcolm Miller led the Crusaders with 17 points and nine boards.
Ted Kapita was the top-rated recruit from West Virginia in the class of 2015 and recently played at DME Academy in Florida.
With the Suns drafting Tyler Ulis, they now have five guards on their roster who attended Kentucky.
NBA fans will be looking forward to their newest players making plays like this next season.