If the unruly crowds are overwhelming & you have the SUV to get going, you can alway head north to the secluded harder to reach Monache Meadows area. The rangers recommend 4 wheel drive for the 'Jeep Road' that heads north into the Inyo National Forest, but we easily made it in a high clearance 2WD. Of course, this depend on the season. If heavy snow was present, the mud may be tough going.
There is also another Kennedy Meadows in the Sonora Pass, Central Sierra Nevada region.