I'm pretty persnickety about washing in the rest room --even at home. Funny thing is, you do your duty, handle the faucets, wash, then handle the faucets again. Ha !
Paper towels are your friend.
Me, I even wash off my cane handle.
I think they're replacing the auto-dispensing paper towel devices in my favorite supermarket, which means I'll have to swipe some paper knapkins from their deli area before going in, just like I do in a local Macwendyking's since they removed their towel dispensers.
Hell, even rubbing your hands on a flat rock after eliminating is better than nothing.
Well, not really, but too many people take me too seriously, so, "disclaimer."
Terry