Snowshoes aren't terribly common in the West, but they were present.
Here are a few lines that reference snowshoes being used in the West:

From Robert Campbell:
I then prepared to leave to join my party, who were with the Flatheads, on Flathead river.
We packed our bedding on the dog train.
I had two half breeds, Mountain Indians, with me. We carried no tent for ourselves.
At night we shovelled off the snow with our snowshoes, for the dogs tent.
We killed buffalo to live on. We fed our dogs at night so that their food could digest, while they
were at rest.


From River of the West (Clyman):
It was about Christmas when
the camp arrived on Wind River, and the cold intense. While the men celebrated Christmas, as
best they might under the circumstances, Capt. Sublette started to St. Louis with one man, Harris,
called among mountain-men Black Harris, on snowshoes, with a train of pack-dogs. Such was the
indomitable energy and courage of this famous leader!

Some time during this winter, Meek and Legarde, who had escaped from the Pawnees, made another
expedition together; traveling three hundred miles on snowshoes, to the Bitter Root River,
to look for a party of free trappers, whose beaver the company wished to secure. They were absent
two months and a half, on this errand, and were entirely successful, passing a Blackfoot village in
the night, but having no adventures worth recounting

From John Work:
Friday 24 th Overcast, Cloudy weather, snow showers. At daylight set out for Spokane accompanied
by an Iroquoy & an Indian, and encamped at 4 oclock in the afternoon between the big hill
and the Lake. The snow on the portage is generally from 3 to 4 feet deep and very soft and on
account of the smallness and badness of our snowshoes walking through it is very fatiguing, when
we encamped we were very tired, & had no water, however, by melting snow on a piece of bark at
the fire we soon obtained a sufficiency.-We stopped early having only a small axe to cut firewood.

American Mountain Men member snowshoeing in Colorado.