Solitude but close to town
Great option if the Curtis Canyon campground is full, or if you would prefer something a little more remote. High clearance vehicles recommended - forest road 30440 is in pretty rough shape. Town of Jackson is fairly close.
Same great views you'd expect anywhere near the Tetons; trailhead to Goodwin Lake is close by. Full Teton view is better at the trailhead, but its not far. Dispersed sites are spread out with plenty of space; although no one stayed in the site next to us on this rainy evening in June.
To get there, continue past the Curtis Canyon campground in Bridger-Teton National Forest (behind the Elk refuge) as if you were heading to the trail head. You'll start to see marked sites along the extremely rutted forest road. I would not attempt very muddy conditions.