Most of the South Fork area is in summer:

with plenty of wildflowers:

Dusy Basin has a few more snow patches, but is still mostly clear and summer-like, with lots of mosquitoes:

with decent, though brisk, swimming in Lake 10742:

Going up towards Muir Pass is a different matter. Snow starts appearing around Lake 10800+. Lake 11280+ is thawing out, and Lake Helen is mostly frozen.

The original plan was to hike cross-country into the Ionian Basin, but when I saw the 2-3 foot suncups around Lake Helen I decided to save that for another year:

There was a well-worn path through the snow along the trail, but cross-country wasn't looking too appealing. Despite the well-worn path people were getting a bit lost, particularly between lakes 11280+ and Helen. Its not good to get on the wrong side of the river in here (follow where the topo says the trail is) because the snow bridges are collapsing:

So...I explored the Middle Fork Kings River from the top to Palisade Creek, climbed manzanita slopes for views, and basically had fun.
There was a 10 foot wall of snow along the trail between lakes 11280+ and Helen. With a melt rate of 6 inches per day (noted above), and days likely to get colder after a couple weeks, I'm thinking some of this snow won't be going away this year.
More pictures here: Picasaweb Albumn