Odds and Ends
How to Train Your Red Dragon
1 8, 6:44am
I wouldn't recommend that. Freezing the waters takes energy. Your fridge blasts out that energy to the back of the room, more so than the ice block coming from it can cool the room down again. The fan also consumes energy, some of which it will emit again in the form of heat (engines typically get warm on heavy duty).
The point of air condition is taking warmth/energy form inside the house and putting it outside (plus some for the engine running). But the way you described, the added energy from the engine remains inside the house, so it is going to be warmer in the end. Same as trying to cool your kitchen by leaving the refrigerator door open. That does not work.
Better to hang wet towels in an air current, as AinoKyllikki suggested.