If you had a honey badger, it probably wouldn't care.

On a more serious note, you could try splitting the air condition outlet in two parts; one for the animal, and one for the miner. You may have to use small fans in front of the duct to pull the cool air through the tubes, but for even a small AC unit it could work. I think ferrets tend to be more warm blooded than  humans, so any body of even lukewarm water could help them chill off. That's my 0,02 btc, hope it helps! Good luck!