Equine.com listing of horses for sale in Wyoming. The Bucking Horse and Rider is a registered trademark of the State of Wyoming. In 2012 the National High School Rodeo Finals will move to the Sweetwater Events Complex in Rock Springs and Casper has long been home to the College National Finals Rodeo, but "The Daddy of 'em All" is Cheyenne Frontier Days. Wyo., is the least populated state but if you're looking for the most horses for sale, search Equine.com classifieds. From Sheridan to Laramie, Cheyenne to Cody, we have the most horses in WY.