Okay... I know you want to try to preserve your aquascape (trust me, Ive moved my tanks so many times with that goal in mind and it never works) but to be honest, it 99% of the time ends up looking better with each time I rearrange it. I would recommend that you forget trying to keep pieces grouped in buckets with how they go together, because it will just end up frustrating you more during a big move.
Setting up a spare tank with the coral and fish will really help you spend time with your aquascape. If you like the "wall of rock" look then thats cool, put all the rock in and let things settle and then move things around after its all in there to go it how you like it, and dont worry about the fish and coral until things look pretty good to you.
I do have a recommendation about the aquascape though. I've done the "pile of rock" in a couple tanks and found that the lack of flow in behind and around the rockwork really contributes to a buildup of waste on the rock and in the sandbed. Even if you stick a powerhead back there if there is rock in the way then the flow wont go anywhere. Set up the rock about 2-3" away from the back glass, and create lots of archways to allow water to flow freely in and around the rock. This is will help to keep the rock healthy, and over time will contribute to a much healthier reef.
Having a couple bins set up to house the rock while you move the equipment will really help as well.
-Diana