I was in the general vicinity and elevations last week(end). There is almost no running water unless it is coming from a permanent (i.e., lake) source. All ephemeral sources seem to have dried up. I saw no cases where there was sufficient snow remaining to provide reliable, albeit temporary, seeps. In other words, there
may still be some small patches left somewhere in some protected hollows on some northern exposures, but I would not count on it as a readily available water source. FWIW, I drank much more than I ever have on my excursion, but it was from map labeled permanent sources and what I carried. Here is a view north towards the southern exposures of McAddie, Arc Pass, and Mallory from Sky Blue Lake on 6/22/12. It is DRY.
This webcam:
http://www.whitneyzone.com/webcam/will/willi.jpg, will give you a near real-time view of more northerly exposures, though a bit further north.