Consider Alfred Newman’s superb “The Hunter” theme for the film “The Bravados”, 1958, in which Gregory Peck portrays a man relentlessly hunting those he thinks responsible for the murder of his wife.
I want to thank everybody for their suggestions on this thread! Through these recommendations I discovered several scores and delved deeper into my own collection.
The Death Hunt from "On Dangerous Ground", as played by Charles Gerhardt & The National Philharmonic, is the most savage hunt music I can think of. Oh, Bernard Herrmann, but I sure you all knew.