Head Huggers.org has a nice one. I made this for my mom last year. Yes, it is knit in the round, but you can easily knit it on two needles and sew it up when you're done.

Here is a link that might be useful: floppy brim hat

Thank you, Donna. This is just the hat pattern I've been looking for. Happy knitting! Dottie, No. Minn.