Sounds like the "old days"! When I worked for NOLS in the late 60's - early 70's we always were bashing through snow. Back in those days we had large groups and would take turns breaking trail though the snow! Sorry about the snow ruining your trip. On the positive side, it looks like it is a good year for the glaciers.

It has been my experience that if you go into the Wind River Mountains in June in normal to high snow years, the southeast part of the range (starting out of Sinks Canyon) generally has less snow than the northwest part of the range. The east side of the mountains are a little drier than the west side. Also, contrary to what you think, once you get above timber on south faceing slopes, the snow melts a lot earlier.