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Current thought is to get a used, small chest freezer, place a container (aquarium, 5 gal bucket, etc) of automotive anti-freeze mix in the freezer, then, using a cheap fountain pump, pump the mix slowly through a junk heater core from a car. This would fit into a hole in my small garage door. I would then use a small exhaust fan in the ceiling to blow out the warm air collected at the ceiling, hopefully pulling in fresh air across the coil. It would take some tweaking, but I think I could get the heater core about 35 degrees F, which, with a gentle airflow, should remove a LOT of moisture from the incoming air, and probably drop it's temp by 10 degrees or so.
While potentially interesting from a MacGiver-esque point of view, this arrangement is going to be far, far less efficient than a simple small window air conditioning unit. My guess is that you're going to blow about 2 to 3 times as much electricity on such a set-up as the equivalent BTU removal from a condensing gas set-up (i.e., an air conditioner).