Nick, you scare me.
Move to South Carolina and try your idea here. Then after your house rots down, you can move back up north.
It does not matter what the RH differaece is unless the temperature is the same when you ventilate. If the humidity ratio(in grains of water per pound of dry air) is higher outside than it is inside, you DO NOT want to ventillate! If the humidity ratio is lower outside than inside, then ventilating MAY do the trick. Either way, you MUST be sure that the surface temperatures in the basement are ABOVE the dew point of the air present. If the air outside is dryer than the air inside, but the wall temperatures in the basement is still below the outside air dew point, ventillation WILL NOT HELP!!!!!!!!!
A dehumidifier will use more electricity, but is not likely to damage anything. Using fans with an improper control system can rot the walls out!!! The cost of repairing the walls will be MUCH HIGHER than the cost of the electricity saved!
In order to determine the proper fix for the OP problem, I would want to check the weathe data for his area, measure the wall temperatures over time with data loggers and measure the humidity inside and outside over time with data loggers. He will be safe, if a littel poorer with a dehumidifier, assuming he drains it outside or into a proper drain. Using your RH sensor scheme may destroy his house!!!
I can't see how you can recommend such an option without measuring the conditions inside and outside his house with data loggers and his wood moisture in the basement walls using a wood moisture meter.
You have lots of nifty formulas Nick, but seem to have no idea on proper practical application. Here in the "land of the midnight fungus", recommending ventillation to solve such a problem is downright irresponsible!
Please remember Nick, most people with mosture problems do not live in dry climates! Therefore dehumidifiers are usually a better solution to high humidity than exhaust fans.
By the way, if he installs a $250.00 dehumidifier instead of a $1,000.00 Humidex exhaust fan, the money he saves on equipment will be enough to pay for dehumidifier electricity for many, many years!! And his walls will be safe!
Please start recommending practical solutions that are climate specific, instead of your pie in the sky (unless it is cherry pie) control schemes requiring computers and more psychrometric knowledge than the homeowner is likely to ever possess.
Stretch