In addition to what 'bc' has said, I'd like to suggest 2 things. 1) You add a vent on at least each wall (at the ceiling) to let the moisture INTO the finished basement. Yes, you 'read what I wrote'. As bc said, trapping the moisture BEHIND the wall may cause problems later on. 2) Install a dehumidifier. In a sense, by doing these 2 things, you've allowed an entrance and EXIT for the moisture that gets into the finished space. This way the moisture doesn't back up into the space behind the wall(s) and it gets removed when it enters the living space.
My best to ya and hope this helps.
Jay J -Moderator
PS: These days, I'm reading more and more to simply let the moisture 'in' and just get rid of it via a dehumidifier. (Anyone else have any 'comments' on this??!)