I’ve done Kearsarge, Mono Hot Springs, MTR, VVR, Road’s End, and my wife has done Bishop Pass.
First of all, they’re all such great trails. Better even than your average mile of the JMT or PCT. So don’t worry about “wasting time” going off trail.
Kearsarge is beautiful. The hitch sucks, but oh well.
Bishop Pass Trail is beautiful. She just carried resupply over and met me, so i don’t know much about what you can buy there.
Mono Hot springs is a really good option. Besides the springs and spring-fed showers/tubs, there’s a restaurant with a salad bar, and a little store. Between that and the P.O., why not? Oh, and the trail (Bear Creek) there is really nice.
Here’s a good way to do it if you’re going Nobo: send yourself a few basics to the Mono Hot Springs p.o. in advance. Stop by MTR and pick up whatever food you want from the hiker barrels. (They’ve always been nice to me, but if you’re rude to them, they probably reciprocate. Treat them like they’re doing you a favor though, and they’ll be nice.) Then proceed on Bear Creek to Mono H.S. If between MTR and the p.o. you still don’t have enough food, you can go to the store, or you can hike directly 6 miles to VVR. Not my favorite place, but some people love it, and they have more food there. You will have hiked west of the JMT and missed some miles, but it’s a continuous route and it’s at least as beautiful as that (uninspired, relatively) part of the JMT.
If you do Road’s End, that works too, but i wasn’t as impressed with that trail.
markv