In reply to Castleman:
Stating the obvious: the weather can change.
In two weeks time all the snow could be gone, barring a few snowbanks. The rivers could be in spate from meltw*ter, and the ground boggier than a soggy sponge. Nightmare.
Or you could find the whole route covered in firm snow giving swift progress. Pure dead bonny.
Or there could be lots of fresh snow, making any progress hard work even with snow shoes or skis.
The wind could whip ice shards into your face, or could gently push yhou along.
You may get sunburned, or even snow blind if you don't have sunglasses / goggles.
All points made above are sensible. It is a Big and Remote walk.
You could start with one set of weather conditions, and suddenly find yourself in an unexpected blizzard / thaw / gale / rain storm / unrelenting sunshine.
BUT it is time spent in the wild. Enjoy it!