Rated high on the things to do in Washington is going to The Duchess Tavern in North East Seattle. Dogs and cats alike are welcome here, so if your dog can't handle that, it's best to move on. Otherwise, snag an outdoor table out of the rain. The only times dogs and cats aren't allowed is during peak hours (Friday and Saturday nights), or game days.
Sometimes, nothing beats a rainy day indoors to recharge. Remember, your rest and relaxation days are crucial in recharging your batteries. If you and your dog are normally very active, try winding down a little and spend the day napping, lazily lounging, and ordering delivery for a change.