The Finest Hours: Directed by Craig Gillespie. With Chris Pine, Casey Affleck, Ben Foster, Eric Bana. The Coast Guard makes a daring rescue attempt off the coast of Cape Cod after a pair of oil tankers are destroyed during a blizzard in 1952. The Coast Guard makes a daring rescue attempt off the coast of Cape Cod after a pair of oil tankers are destroyed during a blizzard in 1952.