I've been on the summit a couple three times for the sunrise. I believe it is best way to summit Mt. Whitney. I've only done it from the Guitar Lake area but the distances are about the same as from Trail Camp.
We started very early took our time and were never in a rush. We've done it full and new moon...and prefer the latter. We have shown up at least half hour early each time.
Figure out your speed for your distance, the elevation then add to it because you will be hiking slower because you can't see all that well...even if it is a full moon. Believe me, you do not want to be going full bore.
The other thing I discovered was it is a good idea to bring a second pair of gloves with you. After hiking with them on for a 3 to 4 hours they are damp and will not keep your hands warm as you wait for the sunrise and the mountain to cast its shadow to the west. I took my gloves off to eat a Clif Bar at 14,000' and when I went to put'm back on they were laden with frost.
