^^^ I'd second this. A couple of years ago I ran into a group of Girl Scouts at Cottonwood Lakes.
As I passed them on my way up to Old Army Pass I asked if they spent the night up here and one of them proudly said: "We spent FIVE nights up here!"
You will need a permit for overnight out there, but they are easier to get than overnight Mt Whitney.
Also, be sure to bring mosquito repellant.
