OP - here. The way I've seen it done is to use two punch bowls. Smaller one sits inside the larger one and holds the punch and the larger one outside is where to put the pieces of dry ice so that the dry ice doesn't come in contact with the punch. Kids are 9-10 so they are old enough to understand not touching or trying to touch the ice.
Thanks, I thought I had to go to a special place and didn't realize it was available at someplace as simple as Harris Teeter.