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.
Seton Hall sophomore Isaiah Whitehead will stay in the NBA draft and not return for his junior season.
Washington State's trio of Josh Hawkinson, Conor Clifford and Ike Iroegbu have withdrawn from the NBA draft and will play their senior season with the Cougars.
Gonzaga center Przemek Karnowski, who missed most of last season with a back injury, says he is returning for another year.