I have shipped a lot of boxes of comics and magazines. As long as they are packed tight in the box, we shipped FedEx. If the box is able to be handled by 1 person.
If so I would double line the box with cardboard and packing material, packing tape the f out of it. And ship ground FedEx or ups. If you go on a pallet you’ll be 400-500$. Although heavy boxes may rack up some costs too….