The warm air will precipitate excess moisture quickly. Any cool spot will become a condensation point.
The smart thing to do, would be to vent the case to outside. This would keep the room (air supply) cooler.
A 6 inch duct, with an inline 40 cfm fan should work ok, or connect the duct to a central vacuum system. That way, you could keep the insides of the case clean at the same time.