All of your potential solutions could be employed by other players as well which would be the same difference as what you are experiencing now. Not getting the item you want sucks for sure but that is the nature of random drops and rolling for loot just like any of the other billion games with the same system. When I was collecting the Ivalice raid sets it took me a loooooong time to finally get the Agrias chest piece because I was very unlucky with drops and rolls.

IMO the real issue here is waiting close to an hour for an Ivalice raid to fill. If the devs could address the issues with alliance raid roulette that would go a long way to helping those queue times.