I just got out of Sequoia. Traveled up to the Tablelands at 11,000+ft. Snow was never an issue. What was around, was easy to walk across. It was rare at 8500ft, and consistent (depending on aspect) at 9,500ft and present regardless of aspect at 10,500ft. I was able to reach 11,000ft by following rock virtually the entire way.
You might use one of the trailheads out of Jennie Lakes Wilderness.