Hmmm. Never even lived in a house with basement. Here's what helps me.
50pint dehuey in my 4x8x8 (I have the floor space luckily)
Day and Night, I vent the tent based on temperature, not RH. (or sealed running wall banger AC - AC keeps tent cool lights on. Vent during lights off)
15 minutes before lights out, a timer turns on my dehuey, preset to 40%.
The dehuey creates heat as it dehumidifies....so it vents as needed based on temp I set.
At the cost of energy, it works for for me.
Is it your basement that is always high RH.....outside air high RH also?