You might not want to hear it but the only surefire way is a multi-approach system:
1) Build a fish room. and contain the air. If not treat the whole basement as the fishroom, but its more costly energy wise.
2) Install a ventilator for the basement. This can be a HRV, or simply 2 fantech fans on 6 or 8 inch. One needs to draw air from outside, one needs to exhaust air to the outside. You MUST have Makeup air or bad thigns will happen, trust me. These (or the hrv) run when its cool outside and/or when the realitive humidity outside is less than inside. How these are plumbed into your fishroom basement depends on the setup. In a fishroom, isolate it from your hvac completely. In a basement isolate it, or add it in, choice is yours. The dual fantechs are a poor mans HRV in essence, or are a hrv that doesn't retain the heat which might be preferable in your neck of the woods.
3) In a basement, install a dehumidifier. Install a whole house one if you can, and if your hvac actually pulls air from the basement. The dehumidifier is used in the summer during the day when the relative humidity outside is greater than what you are trying to flush out. In a fishroom you don't have to do this if your room is setup properly and doesn't leak air. You can simply flush air via the fantechs.
4) In a fishroom install a split AC system separate from the HVAC. In the basement you probably wont need this as the dehumidifier can't kick out enough heat if its a portable model, and if its a built in model to your hvac it will kick heat out of your condenser outside. The split AC unit will not be used in a fishroom except to take the air temp down if its interfering with heat buildup in your tank. The fishroom isolates and contains the humid air letting you flush it when you want, at night, ect. The trade off is it can get hot in there during the day, and you might have to cool it. The energy for the slight cooling, if its even needed, is far less than having to run a dehumidifier in a whole basement.
Basically, its haphazard with a basement. You waste alot more energy removing the humidification than in a fishroom because you can't isolate the target humidity and flush it. If you have a tank thats big enough to cause humidity problems in a basement, you really need to build a fishroom, or a canopy over it that is airtight and you can control directly with makeup and exhaust air, or with direct dehumidification. Just installing a dehumidifier only masks the problem and is going to be more $ in the long run if you want to take the basement humidity down an appreciable level from a large tank in a basement.
In summary: fishroom: install makeup and exhaust fan system, install split ac if its needed. Flush humid air when it makes sense for you.
Basement: Install dehumidifier, install fantech/hrv system to cut costs and get cheap dehumidification when able based on outside situation AC normally wouldnt be needed.
Fishroom wins $ wise as far as energy savings go... dehumidifiers eat tons of current.