I have hiked *most* of this route, see notes about where I deviated. There are several significant XC portions, heading southbound the first is crossing Bitch Creek. My group and I ended up hiking all the way down Bitch Creek to the next trail junction to head back up to the Crest trail but that trail did not exist so it was a 2 mile bushwack. The route I have drawn should be more direct but I haven't hiked it.
The next XC portion is crossing the Teton Crest from Granite Basin, I uploaded my GPS track for that segment. It does involve some minor scrambles and a lot of steep talus on the descent to "Solitude" Lake ( dozens of day hikers).
Resupply info:
123 miles from Old Faithful Village to Rt-22 - I recommend hitching west to Victor or Briggs, Idaho instead of staying in the epic tourist trap that is Jackson
12 mile walk from Teton Pass to the Granite Highline trailhead, you could skip this
73 miles to Bear Creek CDT mile 1160 just north of the winds, you could resupply at Seneca Lake Trail (BC 1190) or a long push to Lander (BC mile 1274).