the Liberty American Flag Straw Cowboy Hat w/ Medallion might be exactly what you're looking for

It is a 5 paneled flat-brimmed baseball cap with contrasting bill

and the floppy style is very popular today

Inside you will find another grosgrain ribbon serving as the sweatband

5" brim sloping downwards on all sides to keep your eyes and nose covered well

Boardwalk Style - Fine Crochet Raffia Floppy Hat American Flag the Liberty American Flag StrawThe Boardwalk Style fine crochet raffia sun hat is a gorgeous style made that is made with care. Intricately crocheted raffia fibers create a very durable hat that can withstand repeated packing and crushing and still live to be worn. Be forewarned that this is a pretty floppy style so if you want something with a stiffer brim you will either need to add stiffener or you should try another style. On the outside it is trimmed with a raffia double