The term tengallon hats may not be a common phrase that people use nowadays, but there are still several words that one can use as synonyms to describe it. One of these is the cowboy hat, which is a wide-brimmed hat commonly worn in western movies and by ranchers. Another synonym to tengallon hats is the stetson hat, which is a popular brand of cowboy hats known for their quality and durability. The broad-brimmed hat is also an excellent synonym to tengallon hats and typically has a flat brim. Other alternatives to tengallon hats include the sombrero, fedora, and wide-brimmed sun hats, all of which are stylish and protect from the sun.