Trust me, I know all too well that beer will freeze and given a low enough temperature any alcohol will freeze as well but I was kidding around about the beer thing, at first I'd thought it was a cold box for circulating coolant through ice or dry ice until I found it in your post.
Very ingenious setup, someday I'm planning to build a chiller myself.
The one I'm planning to build involves 2 loops, a 225W TEC and a liquid to liquid heat exchanger all packed in a gutted Shuttle XPC case.
The hot side of the TEC will be cooled by a dedicated loop with a single 120mm heatercore rad, the cold side will feed anti-freeze to a liquid to liquid heat exchanger via a waterblock (basically it will have 2 waterblocks on the TEC, one to cool it and one to get chilled) and the water in my PC loop will get pre-cooled by the rads in my system then circulte through the heat exchanger prior to feeding into my system.
I'm not looking for massive temperature drops just better cooling with a CPU temp as closr to ambient under load as possible.