Starting from the Teton Canyon trailhead, start up toward Alaska Basin. A little over a mile in, turn left (just after the Goat Boulder) and cross the creek to gain the Roaring Canyon "trail". This trail is obvious at first, but becomes fairly faint and eventually navigates a lot of fallen trees before becoming obvious again. Head through Roaring Canyon all the way up to Hurricane Pass. Here, turn right (South) toward Alaska Basin. Right around the area of the Jedidiah Smith Wilderness sign, turn southwest and head straight for the southern ridge of Battleship Mountain. Take the southern couloir to the summit - should be no harder than class 3. Enjoy the insane view of the Teton Range! Then drop back down the ridge and into the basin headed toward Sunset Lake. For this I did not go back to the Hurricane Pass trail, but instead traveled cross-country directly to Sunset Lake. Once at Sunset Lake there is a faint trail heading southwest toward Teton Creek which allows you to bypass Alaska Basin itself. The trail will be faint until you reach the steep drop back into Teton Canyon, where it becomes obvious again. Shortly you will regain the Teton Canyon/Alaska Basin Trail, which you will then take all the way back to the trailhead. Roughly 60% on-trail travel.