The Northern part of Yosemite might not be a problem, but as you come down to the next highway, was a hairy snow slope even in late July… traversing it was hell, until I decided to slide down to a shelf 10m or so below trail… lost my ice axe brake on way down, but luckily came to a stop on the gravelly shelf, or I woulda been dead perhaps. Jmt would be crazy for a greeny of course… Maybe you could hike in circles around Yosemite (or Yellowstone) with lots of opportunities to camp & shower in the various park villages & see crazy neat stuff like hike up to waterfalls & Half Dome & hot springs & riverswims & restaurants… you would only have to carry a few days food & could finish up at Mono Lake (E) or the big trees(W)… a thru hike is better for those who be gung ho; although usually men are more gungho, so ???
gingerbreadman