Peter, I climbed from the middle Crabtree Lake to Discovery Pinnacle. Trip report here: Mineral King to Whitney Portal

Unfortunately in my exuberance I climbed way too high too fast. I was aiming for the semi-level terrace between middle and upper Crabtree lakes. I think you should go all the way to Upper Crabtree, then double back -- the yellow trail (there is no actual trail there), then the red lines. (You could even go straight up). The steepest part is only 100 m of elevation. If you check the sat view on Google maps, you can see there are use trails up that slope. Get some water at Upper Crabtree, and embrace the slog.

Here's my SpotWalla map of that section showing my Spot points, and where I climbed to an overlook on the Hitchcock crest.
[Linked Image]