Done it multiple times with just a cooler and ice. Cape (no need to turn ears, eyes, or lips). Do this as clean as possible...meaning leaving as little meat and avoid getting dirt on the skin side. fold cape skin to skin and then just fold in half...Don't roll unless the cape is really cool when put into cooler. Simply put cap in plastic/water proof bag and pack ice around it. Bring a smaller dedicated cooler for this and prepack with ice.
We use the large flat ice packs that come in the "meal kit" packages (hell fresh/every plate, etc). They are like 9x9 or 10x10" flat ice packs we put into gallon zip locks so the don't leak. You can by similar on amazon. Way better than bags of ice or frozen jugs. You can layer them under, in between, and on top of meat and capes. You can even tuck them right in the cap and everything lays nice and flat.
Multiple antelope for up to 8 days no issues with hair slipping or losing capes.