Personally, I don't think that there is any single solution that is perfect.
Dehumidifiers work but add heat which increases the temperature of the air which increases the amount of humidity that the air can hold. Not only that but during the cooling season you're paying to heat the air just so you can turn around and pay to cool it.
Air conditioners are pretty much the opposite. You're paying to cool the air in winter and then paying to heat it back up. Of course, this is not Nooks case as there is no such thing as him getting cold.
HRVs work but would pretty much be useless during the summer months here.
ERVs would work for summer but our outdoor humidity levels are typically so high here that the dessicant wheel that removes the humidity from the incoming air would become saturated fairly quickly rendering it pretty useless as far as dehumidification goes. That problem can be rectified by paying more money for more dessicant wheels.
Add to all of this that in summer when the lights are on you would want to eliminate the heat created by them but in winter during the night you would want to retain heat.
Considering how expensive energy is becoming, especially in IL, it will require multiple methods to cost-effectively keep humidity levels low.
Pick your poison.
