Here is the northeast corner of the wilderness viewed form the PCT near the Gumboot Trailhead on Friday (5/17). The peaks on the far right are the mountains over the Bear Lakes, the peaks on the far left are near Poison Canyon (Ycatapom Peak not visible).
This shot is looking at the northeast aspects of the peaks, which should hold the most snow. Things look pretty dry, but these aren't the highest peaks in the wilderness.
Here is another shot with a view further north, the red peaks near center are the mountains over East Boulder Lakes.
I haven't done any hiking in the alps yet this year but have been to the Trinity Divide and the Siskyou Wilderness (the ranges immediately east and further west of the alps). In the Trinity Divide you'd be hard pressed to find any significant snow below 7k. They are a bit drier than than the alps though so I'd expect more snow there. The Siskiyous are about a month ahead of where they should be in terms of melting, and I'd expect this time frame to match the melting in the alps.