I think adding onto what I put up top would be this:
TSeptember 1 - 68 - Below Donohue Pass
FSeptember 2 - 69 - Reds Meadow
SSeptember 3 - 70 - Purple Lake
SSeptember 4 - 71 - VVR
MSeptember 5 - 72 - Sallie Keyes Lakes
TSeptember 6 - 73 - Muir Ranch
WSeptember 7 - 74 - Davis Lake
TSeptember 8 - 75 - Middle Fork Kings River
FSeptember 9 - 76 - Middle Fork Dougherty
SSeptember 10 - 77 - Frypan Meadow
SSeptember 11 - 78 - Cedar Grove
MSeptember 12 - 79 - Roaring River
TSeptember 13 - 80 - Tamarack Lake
WSeptember 14 - 81 - Soda Creek
TSeptember 15 - 82 - Columbine Lake
FSeptember 16 - 83 - Mineral King
That whole plan is 880 miles with 16 resupply points. Throw in a bunch of layover days and it's probably 90 days or more. It still leaves room for more with the season not being over yet but resorts will start to shut down and resupply would become more difficult.
The whole thing is one hell of a plan I think. Almost makes me think it's a bit crazy but if I can pull it off it would be extremely epic!