I live in south Louisiana with a recently purchased 90s home where there are several attic access areas- some small for storage & 2 just to house the hvac equipment.  The previous owner stuffed r19 batts in the rafter bays, in the soffits and generally everywhere in some of these attic space/storage rooms. What little I know about attic venting made me think this was a bad move, not having any baffles. 
So I opted to make my own baffles from 1″xps and run them up to the upper attic areas where there are exhaust vents and replace all the wall and rafter batts with rockwool.

My problem is that once I started removing the insulation on the walls which lead to the interior of the house the drywall was damp, the fiberglass batt facings were damp/wet. My question is without placing a dehumidifier in each of these rooms what are my options, I feel like what little duct leakage there is isn’t enough to keep these rooms cooler/dry.