I have a baseball cap for walking the dog but I'm looking for something to keep me nicely shaded and a little less straggly when I'm away next month. I must have a shallow crowned bonce as most straw hats end up covering my eyes too. I think a fedora style is most practical and wearable (as much as I'd love to waft about with a 4ft floppy brimmed exclusion zone at all times). Any recommendations?