We have a strawbale/cob pantry that is heavily insulated but not well ventilated, and unheated, and in the winter it gets moist in there.
We've had success reducing the moisture in there with a homemade moisture absorber:
Old wool sock filled with rock salt, hanging above a pan. Salt soaks up moisture very quickly, and in the hanging sock it percolates down to the bottom and drips into the pan. We currently get about a quart of water a month from two socks.
I regularly swap the pan with one in the cabin near the wood stove, so it doubles as a humidifier for that space which is very dry, as the water evaporates out of the pan. The water comes with some salt, so eventually I'll take the salt out of the pan and put it back in the socks. I've put these in other spaces like a shipping container just to help keep it dry.
I imagine the salt would prevent mold or nasty smells coming from socks of other material too, but in my experience wool is much better at not getting smelly or rotting like other materials do. The wool may also help by efficiently wicking moisture into the salt, I am not sure how much difference it makes that way. Would be interesting to experiment with a cotton sock vs wool sock.