On the axie forum, I've seen photos of a low-tech cooler made using an insulated cooler that is kept stocked with ice water, plus a pump that pumps the tank water through a long coil of tubing in the ice water. The people using this kind of system say it works well, but the obvious drawback is keeping it stocked with ice all the time.
I think what you are proposing, bill, is similar, but I don't know how a computer heat sink works. If it is some kind of Peltier device, then you wouldn't want to have it inside a cooler.