Kracker Barrel Store has a small cafe as well as washer/dryer and showers for a fee. They really want you to sign their trail registe and write a comment too!
I would definitely consider shipping here if you aren't going to head down to Packwood. It's a really funny spot-- there are a few older women working and they aren't afraid to tell you what's on their mind. I think they like the hikers though, because they'll always give out free food in exchange for chores every now and then. You can basically just hang out inside all day, charge up your electronics, eat their overpriced food, and talk to other hikers.