If I don't hit the lottery, I am going to go up the Meysan Trail. In fact, even if I do hit the whitney lottery, I'll probably do this hike.

it is the drainage just south of the whitney trail. In fact, you would park at the Whitney portal.

http://www.summitpost.org/treasure-in-the-sierra-nevada-meysan-creek-basin/218215
http://climber.org/DrivingDirections/WhitneyArea.html