As an alternative, you could resupply at Muir Trail Ranch, and then again at Onion Valley, and skip the LeConte resupply. It is a shorter hike out over Kearsarge Pass than Bishop Pass. You could probably hitch hike down from the trail head in the morning, and be back up there by evening.
I have seen that Mt Williamson Motel people cater to hikers, providing Onion Valley shuttle and resupply services to the trail head, but they are pricey, too.
