Get a real dehumidifier like a large enough Santa Fe that can maintain <50%RH throughout the basement space. When the basement door are open to the outside and the outside dew points are +50^F, you are adding more moisture than any dehumidifier can handle. This generates more stink in the damp corners of the space. I suggest a powerful dehumidifier with controlled fresh air make-up air to keep the space dry and fresh smelling. During the cold weather, the dry low dew point fresh air will keep the basement dry. Also fresh air throughout the home will make the entire home healthier.
Bear Rules: Keep our home <50% RH summer, controls mites/mold and very comfortable.
Provide 60-100 cfm of fresh air when occupied to purge indoor pollutants and keep window dry during cold weather. T-stat setup/setback +8 hrs. saves energy
Use +Merv 10 air filter. -Don't forget the "Golden Rule"