I will have the same problem in about 2 weeks when the summer heat hits. My problem...a chiller will not work. The aquarium room is a room 6 feet by 13 feet... about 80 square feet. If I had a chiller it would just make the room hot and continue the cycle.
My solution is to purchase a portable AC unit. I know they only work half as good as a normal unit and cost twice as much to boot! With no windows I have little options until the house gets central air in about 2 years.
My hope is to keep the Aquarium room nice an cool...around 70 -72 degrees F. The room on the other side where the DTs are viewed will get blazing hot I think this summer....so hopefully the cool air in the tiny space will balance out with the high heat on the other side of the wall.
good luck