Thinking along the same lines of not moving heavy materials, I think building a permanent outdoor structure and allowing it to freeze by keeping the door open would alleviate moving frozen blocks of ice. It would also eliminate the storage issue for the containers. A cheap storage type shed could be used for the icehouse. Buy or build one large enough to super insulate the walls and roof, plus allowing for the ice containers. Then whatever containers you use will work. I’m thinking that plastic 55gal drums stacked 2 high and along the walls would suffice. It becomes a matter of how much refrigerated space is required for shelving and walking in.