Here's a Ham & Bud photo that I bought recently. The seller claimed that it was from a film called Chicken Hunters, but I can't find any information on such a film.
There's a print of HAM TAKES A CHANCE at MoMA. I saw it back in 1985, and it's likely this film as it's set in a vaudeville theatre and there is a snake (which it's Bud's job to walk and there's business of him taking it out on a leash).