I have an old straw hat that suits me really well. However, after years of use the front of the crown is worn out. It's a little hard to see in the photo below, but a hole has developed that I could fit my finger through. Is there some way in which a worn out part of a straw hat can be repaired or patched up, or is this a lost cause?
It would be preferable to restore the original appearance if possible, but I'd be OK with anything that looks neat. (I previously tried stitching it up with straw-coloured string, but the stitches needed to be quite big and I couldn't get them even, so it didn't look good at all.)