Exactly 2 days before its original airing, Angel Hunt (1979) aired bearing a very similar premise: just like David Banner, the angels are tricked into and trapped on an island, where they are also hunted by a madman.
This episode is a variation on the classic (and oft-adapted) short story "The Most Dangerous Game" (aka "The Hounds of Zaroff") by author Richard Connell.
Exactly 3 years prior, Bill Bixby himself had starred in the pilot for Pilot (1977) in which this exact storyline had been utilized for an another character's fantasy.
In the movie (based on a book) in which this is based, The Most Dangerous Game, the villain, played by Leslie Banks, tells hero Joel McCrea "It's like outdoor chess," which is what David and Bradford Dillman's character plays at the airport.