"As I mention elsewhere on this page, Tolkien doesn't tell us exactly how long it takes for
Gwaihir and the other eagles to fly from the Black Gate to Mt. Doom to rescue Frodo and Sam, but I would guess that it could not be more than an hour or so. The Ring becomes stronger as it nears Mt. Doom, but could even this strengthened Ring wholly take over the will of an eagle in as little as an hour? Tolkien doesn't give us the information to answer this question one way or the other (thus, cannot say that he has ruled out the "eagles" plan on these grounds).
However, I would be very surprised if this were so. There is no instance in the text where the Ring takes control of anyone's will this quickly (even taking into consideration that the Ring was not as strong earlier in the story). Powerful individuals such as Gandalf and Aragorn travel with the Ringbearer over a period of months without being corrupted by it. "
What about Gollum?