I thought this was on felt hats, too. Lol
Love my Sunbody hat. My trick to cleaning it is to throw it on the ground, put the toe of my boot on a piece of the brim and blast it with a pressure washer. They soak up water well, so when I'm done I give the shape a little facelift and let it dry.
I haven't had as much luck reshaping other straws. I always broke some of the fibers.