Vander Joaquim had 15 points for the Rainbow Warriors (15-9, 9-4 Big West), who won their fifth straight game.
Hawaii trailed 34-31 at the break and fell behind by seven points in the second half. But a 14-0 run over a 6:23 stretch gave the Warriors the lead for good.
Vander had seven points during the surge, and Standhardinger's back-to-back jumpers made the score 49-42 with 11:29 left.
The Anteaters got within four points down the stretch, but Hawaii protected the lead by going 11 of 12 from the free-throw line in the final 1:28.
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.