High Peaks to Bear Gulch Loop is a 6.7-mile circuit from the Moses Spring trailhead, over the High Peaks ridge, down Blue Oak, and back through Bench and Sycamore. Plan four to five hours. The park rates it strenuous, and that fits: you get a long, exposed climb, a steep rocky ridge, and a mostly open descent before the shaded return. If that is more than you want, the separate 5.3-mile Condor Gulch to High Peaks loop is shorter; it uses Condor Gulch in place of Blue Oak and is still a serious hike.
The 6.7-mile line here follows the cave-free High Peaks, Blue Oak, Bench, and Sycamore itinerary. Bear Gulch Cave is a separate detour. The route description does not say whether its mileage includes the cave, and longer accounts put the cave version around 7.4 miles, so treat the cave as extra walking.