Hi: We came down the Mountaineers route 8 days ago. Here are a few pictures, starting here.
http://good-times.webshots.com/photo/2764895190061435028mRlBIFUp to Upper Boy Scout Lake snow is not an issue. There is a little snow getting up the low spot 300-400 feet above the lake (we slid down it) but it can be avoided on the right western side.
There probably is some snow field in the basin of the morraine field. You can choose to walk over it or go around it.
The sandy chute going up to Iceberg Lake is mostly dry.
There is some snow in the Mountaineers route from Iceberg Lake to the notch. By starting on the left side and staying in the rocks, you can bypass most of that snow. By now there might be only a few hundred feet in the middle of the Mountaineers route to go through.,
From the notch to the summit, you can start on the left....climb up a hundred feet or so...cross to the right....and bypass the snow there.
So in general, you may need to cross a snowfield now and then...but snow is of less and less concern each day.