I wash my wool hose all the time in the washer, on the cold cycle. Just skip the dryer. Its the heat that does it. I've tried washing hose in the sink and wringing it out, but the washer just does a much better wringing than I do by hand.

By the way, if you're curious what the dryer does to wool hose... I did it once and turned my size 11 hose into size 9... and the other was size 10. (???)