Devin Oliver had 10 points and 12 rebounds for the Flyers (4-1), his first double-double.
After trailing 33-28 at the half, Andujar gave the Jaspers a 47-46 lead on a 3-pointer with 7:26 to go, and Beamon's jumper extended it to 51-48 at 5:55.
Dillard's 3-pointer at the 4:23 mark -- he scored seven points down the stretch -- put the Flyers ahead 54-51 at 4:23, and Dayton hit 8 of 10 free throws to seal it.
Manhattan trailed by as many as 11 in the first half but closed 28-27 on Donovan Kates' 3-pointer. Dillard's 3-pointer gave Dayton the 33-28 advantage at the break.
ESPN's Dan Dakich joins The Paul Finebaum Show to discuss the SEC's presence in the NBA Draft.
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.