USS Bedford...what type is she?

I'm puzzled by the two ships that represent USS Bedford in the movie.

It's well known that the US Navy would not lend support to the picture so for the external shots in the beginning of the movie, Director James Harris was forced to film a frigate belonging to one of the NATO members. "F179" is clearly marked on the stern, but whose navy does she belong? What type is she? What's her name?

I compared freeze frames of the ship with my warship book of all navies. The only match I could find that was close to a one funnel frigate of that era was the UK Blackwood class, first launched as HMS Grafton on 13 September 1954.
HMS Devonshire also has some simularites, but has two funnels and is not a frigate, as the "F" designation suggests. Or could it be the frigate UK Gurkha class, first launched 11 July 1960? Gurkha has two funnels instead of one. Any ideas, guys?

My second question is what type is depicted by the model ship, USS Bedford, used in the rest of the film. No US type destroyer looks like Capt. Finlander's vessel as it tools around the screen. The movie model is beautifully detailed and in almost every shot, especially around the "icebergs," looks realistic. It has some visual dimensions of a cruiser rather than a destroyer in some scenes. What is it? US Garcia class destroyer escort (1964)?

Thank you in advance for your comments.

CmdrCody