I do think Tolkien missed an opportunity in this chapter (The Council Of Elrond) to have Gandalf or Elrond or someone explain why it wasn't a good idea to do so: They explain why the ring cannot stay in Rivendell or why it had no sense to send it overseas or to Gondor or let Tom Bombadil look after it;
"Why can't the eagles take it to Mordor?"
"Because they will eat it, drop it, get shot at, be spotted by Nazgul and fecked over...."
Or perhaps Boromir: "One does not simply fly into Mordor on the back of a giant eagle! There are...bla bla bla bla bla....."