The places you can resupply:
Tuolumne Meadows Post Office
Reds Meadow Resort
Mammoth Lakes Post office (detour, hassle unless you need to buy gear at a store or other reason to go to town)
VVR (detour)
Mono Hot Springs Post Office (big detour, best done hitch-hiking)
MTR
Parcher's Resort (detour)
Kearsarge Pass (detour)
If you skip all those past VVR, you will pay the price on Bear Ridge

I've done Whitney Portal to VVR on a single Bearikade Expedition, 10 days, no problem other than killer weight on the way up to Trail Crest. Taught me the lesson to resupply as often as possible. And if I don't mail anything to MTR for example, I will still stop there and grab some food from the hiker barrels. Calories for the taking, at least go there and eat what you can. It's a tiny detour. Charge your camera, email family, hit the trail again.