You don't have to worry about head for pumps if the pump is at or above the top of the cooling tower. In some cases that might not be possible, but not in all. In theory, if the tower was tall enough, the water would condense on the sides(if it was made of aluminum dryer duct, or something else metal). Was the water vapor rose through the air it would give off energy, and hopefully be able to condense out onto the sides of the tube. One thing I would suggest, if you have a very high pressure pump, is having the showerhead portion at the bottom of the tube, and shooting the water up. This allows the water to ravel through the air twice, once up, and once down.