It would be better if we found a container of some sort... Ah, I have an idea, please give me a moment!

[She takes out a piece of chalk and draws a pentagram within a circle on the floor, then grabs a couple of glasses off the tables and puts them within the center of the circle. She then places five kunai at the edges and slams her hands to the ground. The glasses within the circle reform into a large glass jar.]

There! We can pack it with ice and place the hand within it.