I've not shipped but have ordered fresh meat, cooked q, and seafood. Almost without exception they have shipped in heavier gauge cardboard boxes fitted with bottom, sides and top 1-2 inch styro sheets using heavy butcher paper and lotsa cold packs to surround the vacuum packed meat. And most have at least one piece of dry ice. Overnight shipping.
The bigger meat places use custom styro cooler that fit snug into the cardboard box.
