Is it possible that the Giants could consider the option of actually trading down?
Not alot, just perhaps enough to get an extra 2nd round pick, allowing them to still be able to pickup a player they value that doesnt warrant a grade pick at psn #19.

Since this draft is so deep at psns that we have actual need, we can get three good players in the first two rounds in comparison to just getting two good players.

Of course this is just another hypothetical possibility. Obviously things should become a little more clear after FA.