Is there a whole home humidifier running? 3 vents providing dry hot air to the basement should dry it out big time. Something is amiss here for sure.
Example: At 40f and 90% humidity (let's say its above freezing and raining)...
When that air is heated to 60f, the rh becomes 45%. I would guess you heat above that...at 70f , that air is roughly 30%.
As it gets colder than 40f, the rh goes even lower. That is the "tell" that moisture is in the air from some other source.
30f outside with 90% humidity = 30% at 60f, and even lower at 70f.