David, I was there the last week of August. I didn't have any issues with snow; I detoured around a few steep snowfields near Cube Rock Pass, but that was about it. The bugs, on the other hand, were pretty terrible, particularly around dinner time until after dark. I put up with the bugs as long as I could but typically retired to the relative safety of my bivy early. I wished for my Tarptent on more than one occasion.
If you've never been to the Winds, please do yourself a favor and plan a trip. You won't be disappointed.