Lot'sa good sized mountains in the general vicinity; such as, Mallory and Lone Pine Peak out of Whitney Portal. From Horseshoe Meadow, the low hanging fruit 14er...Mt. Langley, which can be done along with Cirque Peak...or Trailmaster, Trail and Cirque while basing at Chicken Spring Lake. Also, the Miter Basin Peaks like Pickering and Joe Devel. Everything depends on your skill level.

Just fire up TOPO! California and fashion a trip for yourself.