So i was moving my ME Drives and i put the storage cells on a chest, and then i grab a dolly and BOOM.
For future reference, the warning on all of the storage cells applies for all types of mobile inventories, including ones which are stationary, but picked up with a dolly. The best way I've found to move cells is through an ender-chest a few at a time, or one to three at a time by hand. It takes a long time to do, but it is still faster than having an overload fixed