I was on the South Fork Trail on Friday June 3rd. The trail is free of snow up to the meadow, say 8300-8500ft, then some snow appears, then gets pretty deep and unless you are there in the morning when it is stll firm, will posthole later on. The slopes/couloirs were in nice shape to climb early on on Friday.
You can cross the creek on a thick (on Friday) snowbridge, though depednding on where you are going, may have to contend with the brush.
On the slopes, snow is patchy on the steeper spots. The trail reappears here and there, but I didn't go too far in and just did some snow climbs from the valley opposite Mt Kidd.