The Vandals (9-12, 5-6 Western Athletic) held on despite not getting a field goal in the last 5:22.
Barone's layup gave Idaho a 56-52 lead and was its last successful shot from the floor. But the Vandals protected the lead by going 10 for 12 from the free-throw line down the stretch.
James Kinney, who leads San Jose State with his 20.2 points per game, missed a seventh straight game due to a suspension for violating team rules.
Andrew White III will return to the Nebraska men's basketball team next season after removing his name from the NBA draft.
Mike Brey is looking at former Notre Dame players to fill two assistant jobs that have opened up with the departures of Martin Ingelsby and Anthony Solomon.
Purdue's 2016-17 prospects got a jolt Wednesday when forward Caleb Swanigan announced he will return for his sophomore season.