Could it have worked?

[Elendhel]

I think it was completely possible to have Faramir appear as he did in the book.

Look at the fellowship (Excluding Boromir of course) the Ring had little effect on any of them at all, and yet that did not leave anyone questioning the power and allure of the Ring.

Faramir's resistance would have been (is) a refection upon his strength of character, not on the weakness of the Ring itself.

It seems that Frodo, Boromir, Denethor, Gollum, Sauron, Saruman and Gandalf are the only people in the film that express any desire for the ring at all (excepting the prologue in which case include Isildur). Feel free to correct me if I'm wrong, I could very well be. That hardly speaks of the Rings formidable hold over willpower. But the film makes it clear that the Ring is powerful, we didn't need Frodo to face a threat from Faramir.