May I make a suggestion.
Take Kearsarge Pass to the JMT, to Center Basin Junction, then up and over Junction Pass down to the Shepherd Pass Trail and take that trail to the Pass. From there, you're at the junction to Williamson and Tyndall. Or, continue down and cross over Rockwell Pass to Wright lakes. From there after continuing down the Wright Lake drainage (where the ridge and trees level off, go cross country to the Wallace Creek drainage (go up to Wallace Lake, Wales or even Tulainyo and over to Upper Boy scout. Or head on down to the JMT and continue to Whitney.
The backside of Junction is quite steep and difficult.
I have crossed over Junction twice and down to Shepherd Creek and over to Wallace. I have day hiked Junction over two dozen times. It's a great hike.
If you are interested in the route over to Upper Boy scout, Richard P can provide that info since he has on many occasions hiked this route.
Paul