I last hiked the Complete Teton Crest Trail in 2006. It is a wonderful hike that many people are consumed with abbreviating and missing out on some truly wonderful country south of Marion Lake. In Alaska Basin I always suggest folks forget Sunset Lake and look to Mirror. If you can spend two nights there a dayhike of Static Peak is wonderful. If you can get Holly Lake I think its better than upper Paintbrush. I prefer the uppermost part of the upper zone in the Southfork. Avalanche Divide, the Wall, all really good. If you're adventurous hike Avalanche Canyon from the Climbers Ranch. Petzoldt said Lake Taminah was as prettya place as he'd ever been. Kit, Snowdrift, all top Shelf. Not the Crest, but wild and far less travelled. Grizzly Bear Lake is awesome too, but give yourself added time if you choose it.
In the valley there is some great free camping with jillion dollar views just East of the Park [Grand Teton] boundary. If you message me I can clue you into some of that.
Gros Ventre is a wonderful campground, great for seeing moose, raptors, and nesting owls.
If you have a lot miles under you think about adding the Old Skyline Trail. The Northern Tetons are one of the wildest and lesser travelled spectacular places you'll ever go.
Have a blast,