I use the paper plate method too. In looking at that quilt, I also think it's not going to be a huge deal if two patches of the same fabric touch each other in random places. It would be highly unlikely that it would happen in the same way in more than one spot.
One other thing I do: ALWAYS make a few extra blocks. That way, once I've finished all the blocks and I'm working on the final layout, if I find one that just won't cooperate, I call in one of the standby blocks to take it's place. I use the leftover blocks to make mug rugs, hot pads, FMQ practice pieces or other things. And if all else fails, there's always the seam ripper.