I haven't seen "The Bedford Incident" in quite a few years, but as I remember it was done mostly with models - of 1960s-vintage ships. I think the Bedford was either a King-class or Charles Francis Adams-class destroyer, complete with ASROC and other high-tech modern weapons. And in some shots she mysteriously turned into a British ship (the movie was made in England).
And "The Bedford Incident," unless I'm much mistaken, was in black-and-white. All three of the movies I'm thinking about are in color.
By the way, I can also remember reading the book back when I was in high school. I really enjoyed it - and I remember thinking the movie didn't come up to the book's standard. The moviemakers changed the ending a bit, and made the parallels with Moby Dick less prominent. Now that my memory's been jogged, I may see if I can scare up a copy of it and re-read it.
Youth, talent, hard work, and enthusiasm are no match for old age and treachery.