ApproachDrive through the ski area and stay to the left on NM 150. Follow the dirt road for about 1.5 miles until it ends at the parking lot behind the Phoenix Restaurant; this is the lot for the Williams Lake trailhead. Park here and hike toward the ski lift (Kachina # 4). Turn left and follow the signs to Williams Lake.
Follow the Williams Lake Route to the summit of Wheeler Peak
From the summit continue southwest to the saddle of Point 12,728 and Bighorn Peak. You will have to hop boulders for a while then hike downhill on tundra until you reach the Williams Lake basin. Continue to the west side of Williams Lake and return to the trailhead via the Williams Lake Trail.