I would put the foamy shipping mat material (not styrofoam or anything that leaves particles) next to the print head, roll it into a ball. Apply tape on the back platen, over the foam, and onto the door frame to secure it. Can use a (clean!) pillow also. I wouldn't directly tape the print head, but shouldn't be a problem if you prefer.
Just be aware of the encoder strip and not to damage it. And not apply pressure on the print head with the pillow, let is rest securely next to it.
Remove cartridges and maintenance tanks, tape all the doors securely. Remove printer from frame and put is on a few thick blankets in the truck for some suspension.
GooGome works well to remove the tape adhesive. I like to use electrical tape as long as temperature doesn't get too hot in shipping.