I think Aragorn may have given in to the rings power eventually and used it, but, he would try his best as he didnt want to be like Isildur was and i suppose this may give him a chance to destroy the ring.
I think that Faramir may have been able to take the ring as he showed no interest in it in the book and could have destroyed it. Also, either Merry, Pippen or Sam may have done it as i dont think they really care much for power.
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Phervasaion
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