Rain on the Fourth of July brought a muddy start to the annual rodeo in Haines, Oregon, held July 3-4. But what’s a little mud to a cowboy? The Haines Stampede traces its roots back to the mid-1890s.

Every summer, more than 100 people come from all over the world to compete in the Professional Rodeo Cowboys Association ProRodeo events at the Greeley Stampede. First-place winners can leave with ...