You say cowpunch? Real cow punchers disappeared with the Chisholm Trail.
Closest thing might be a job in a stockyard, prodding cattle. I am sure one of the old hands will zap you, with the prod, for initiation and you will learn to sing, "Woopie ti yi yo get along little dogie," which is necessary to learn to be a real cowpuncher.
There are ranches that have schools that will teach you about working cattle whilst in the saddle, but be prepared to part with a fist full of Benjamin's and learn all about unnecessary riding, penning, roping, and herding. Skills that won't come in very handy building fence, running a swather, or flushing the septic tank.
Most ranchers that still use horses for roundup and working cattle, like to do that job themselves and have many volunteers that will even bring lunch for everyone, just to get in on the old fashion "cowboy" action. It is the hard and non romantical jobs they will hire hands for and the pay stinks, the hours suck, and rattlesnakes like to pick on greenhorns.