Some ideas for stitching something together you might like.
This is a strenuous trip because of the altitude gains. It is one of the few loop trips with out a shuttle on the eastern Sierra, however. Can be done clockwise or CCW. For scenery I prefer CW. For less uphill do it CCW. Can leave car at Onion Valley or at trail head on Symmes Creek for Shepherd Pass. To retrieve your car, get a ride down the mountain to the road to Symmes Creek and a 2 mile walk to car ( if going the other way, walk to road and hitch up hill to Onion Valley).
NOTE: The first leg CW can be a spectacular day hike early in season. Trail is dry until 4 miles in crossing the tributary to Shepherds Creek just below Mahogany Flats. There is a long switch back that takes you around the lower headwall up to Anvil Camp for a late lunch. In early spring melt water causes water falls from the high ridges on your left going up hill.
http://mapper.acme.com/?ll=36.71102,-118.28971&z=14&t=T" onclick="window.open(this.href);return false;
Counter Clock-wise trip is Onion Valley over Kearsarge Pass to Vidette Meadows (or stay at Kearsarge Lakes first night).
http://mapper.acme.com/?ll=36.76041,-118.36653&z=14&t=T" onclick="window.open(this.href);return false;
Move up Bubbs Creek in V Meadows until the highest bear box near Center Basin. Center Basin is a good side trip for remainder of day. Forester Pass at 13,200' is best to start fresh and early in morning. Going up be sure to stop to look back - while gaining on your respiration.
Tyndall Creek crossing has bear boxes and level camping. It can be jumping off places for exploration up toward S. America Lake and Harrison Pass over look. Spectacular photo op looking at most of Kern Basin from the west.
http://mapper.acme.com/?ll=36.68377,-118.39356&z=14&t=T" onclick="window.open(this.href);return false;
From Tyndall Creek you can take one day to exit over Shepherd Pass down to your car... or if you have energy to spare do more sight seeing in the Wallace Lakes area. The near by (and seldom visited) Tulainyo Lake is the highest lake (of lakes with more than one-tenth square mile of water) in the Continental U.S.
http://mapper.acme.com/?ll=36.59982,-118.32035&z=14&t=T" onclick="window.open(this.href);return false;
For a longer hike in same general area:
Lone Pine: Cottonwood Lake; Old Army Pass (Mt Langley?) to Rock Creek near Ranger Station; Crab Tree Meadows, if you can get a west entry to Mt Whitney, otherwise Sandy Meadows; Tyndall Creek (Mt. Tyndall anyone?); Middle Vidette Meadows; over Kearsarge Pass to car by 2PM
Or continue over Glen Pass on up toward Baxter, Sawmill, Taboose Pass (you need a car north anyway)
mapper.acme.com/?ll=36.86163,-118.37030&z=13&t=T
You could go as far as Bishop Pass (out of South Lake, Bishop CA), but you'd need more food unless you start at Kearsarge Pass.
Humphreys Basin over Piute Pass (North Lake - Bishop) and the entire drainage could keep you busy for many,many days.
mapper.acme.com/?ll=37.23771,-118.72564&z=13&t=T
etc.