So this isn't fully what you're looking for, but if you want to cool something more quickly, wrap a wet paper towel around it and stick it in the freezer.
Water has a higher rate of heat transfer than air, so it'll speed up the cooling. Just make sure to check on it occasionally so any sodas you put in don't explode
The water creates a better way to transfer heat from the container to the freezer because it has direct contact with the container and replaces the air around it. Yes the water needs to be cooled too, but still the process is way faster because air really is a good insulator for heat. This is why insulating materials for houses e.g. always try to maximize air content (foam, glass wool, styrofoam)
You also get evaporative cooling, as the freezer is a very low humidity environment. This is accelerating the cooling much more than any thermal conductivity the water adds.
The reverse process is why humid air makes your beverages get warm quickly when the water precipitates on a cold can/glass.
N.B. maximize air content while minimising air movement and therefore convection. Otherwise you could just have cavities in your walls for maximum air.