From Mountain View Wyoming, go south out of town on WY-410 toward Robertson. At 6.4 miles, WY-410 makes a hard right hand turn. Instead, continue straight on county road 283, resetting your odometer. The county road is signed forest access, and is a good, well graded dirt road. It crosses a wide open flat before climbing and entering the forest.
Stay on the good road for 12.1 miles from WY-410 to a signed junction. Go left, toward Henry's Fork. Follow this well graded road 7.0 miles to where it makes a U-bend to the left. Henry's Fork Campground/Trailhead is signed (straight ahead, instead of making the bend), and 3.4 miles at the end of the road.
There is a small campground at the trailhead with a pit toilet (no water), however there are many good primitive campsites nearby that will likely be quieter.
Summit: 4123 m ( 13527 ft. )
Trailhead: 2878 m ( 9443 ft. )
Trailhead to Elkhorn Crossing (~5.25 miles / about 2 hours)
From the trailhead, the well use trail heads south. A side trail to Alligator Lake on the right is unsigned and easy to miss, but the main trail is not. Follow the main trail about 5 miles to Elkhorn Crossing. There are a couple of decent campsites along the trail before Elkhorn Crossing, but from the crossing up, the camping gets much better (and more crowded). The basin comes into dramatic view as the trees open at the crossing. Be sure to stay on the main trail headed up the basin after crossing Henry Fork.
Dollar Lake (~8 miles from the trailhead / about 4 hours)
Dollar Lake is an easy 2.5 or so miles above Elkhorn Crossing. This area receives HEAVY use. Try to minimize impacts. If looking for isolated camping, consider camping off the trail between Elkhorn and Dollar Lake.
To the summit (13+ miles from the trailhead / about 6-7+ hours)
Fill up the water bottles before leaving Dollar Lake. The work, and elevation gain, begins shortly after leaving Dollar Lake as the trail begins a steep climb to Gunsight Pass.
At the top of the pass, before dropping down from the pass south into Painter Basin, a shortcut trail leaves on the right and more directly crosses to Anderson Pass. This can be a bit hard to spot, but well worth finding. It saves a fair amount of distance and elevation. Stay lower out of the rock field and cross to the south west, contouring over and re-joining the main trail below Anderson Pass. If missed on the way up, it is easier to spot on the return trip and makes a shorter route back.
The regular route descends into Painter Basin, and crosses the basin. On the south side of the basin, at the trail junction, go right (west) and begin the climb back up to Anderson Pass.
From Anderson Pass
Scramble up the ridge south to the summit of Kings Peak.
Note: For the motivated, taking an extra day or even just a longer hike out via the Henrys Fork Lake, Grass Lake, and Bear Lakes loop trail that leaves just south of Dollar Lake and loops back west and north to Elkhorn Crossing is a nice diversion. Those lakes also receive heavy use, please practice minimum impact camping techniques.