To be clear, to reserve a permit for Cottonwood (GT60 trailhead) to Whitney summit and back down the west side to exit out of Cottonwood, you would reserve an "Overnight" permit only, not "Overnight Exiting Mt Whitney". Then on the permit details page you would select the "Visiting Mt Whitney" option. But even a Cottonwood-only permit is hard to reserve right now. I see barely any available for July or August. Keep looking as it gets closer and cancellations will start popping up. Or just show up and you are likely to get a walk-up.
