How can I easily move multiple artboards in Illustrator?

All artboards in my current project are organized according to page and iteration. As I'm adding more and more, I've come to the edge of the workable area in Illustrator.

I'd rather not break my organization system or have to move each artboard one-by-one to shift everything to where there's room.

Is there a way to just grab all boards and move them?

Also, I've tried the "Rearrange Artboards..." dialog, but it messed up my ordering.