Haze was working at a gas station in California when he was discovered by Wyott Ordung. Ordung was directing the movie Monster from the Ocean Floor (1954), which was being produced by Corman, and offered a small part to Haze. Corman was impressed by Haze, and cast him in many of his films over the next ten years, including Apache Woman (1955), Day the World Ended (1955), Gunslinger (1956), The Oklahoma Woman (1956), It Conquered the World (1956), Swamp Women (1956), Naked Paradise (1957), Not of This Earth (1957), Rock All Night (1957), The Viking Women and the Sea Serpent (1957), Carnival Rock (1957), The Little Shop of Horrors (1960), and The Terror (1963). He also appeared in non-Corman films, such as Bayou (1957), Stakeout on Dope Street (1958), Ghost of the China Sea (1958) and Forbidden Island (1959).