I haven't been up on that route this year, however I have been in various parts of the eastern Sierra climbing this past month and highly doubt there is any residual snow. At least not any worth getting water from. I have been scoping the route the past few weekends that I drove by and it appears bone dry up there.
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.
My eyes see no snow up there on the ridge. You may find a little patch here and there WAY up high, near the end of the route in those nooks that face north. I would not count on finding enough up there, fill up when you cross meysan creek...
There were two small snow patches next to the bivy spots just below the top of the last big tower 2 weeks ago. Remnants of the larger one are probably still there today. I don't recall any other spots.