The Cascade Mountains in Washington are consistently the snowiest places in the country, at least where officially measured. Mount Baker ski area holds the world record for highest recorded snowfall for a season. Stevens Pass, the nearest ski resort to Plain, averages 460 inches of snow per year. It is true that it snows very little in the cities along Puget Sound where most people live as warmer air off the ocean moderates temperatures. But even close the Ocean there are glaciers in the Olympic Mountains.

https://en.m.wikipedia.org/wiki/List_of_snowiest_places_in_the_United_States_by_state