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.
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