If you’re simply worried about meeting the “requirement” then a $25 pair of cables for a small car off Craigslist would stow away nicely.
I drive the WA passes regularly and not only is it rare for the roads to remain actually open if it’s “all vehicles required”, no one is going to hassle you in a srw truck.
I sometimes pull a 32’ trailer in the worst weather here cause that’s when the Snomobiling is best and never stop to chain not do pickups get a second look by the state police.
I only carry chains for deep snow with the trailer hooked up on forest roads.
Can’t speak for other states