Have you tried the HVAC foil tape on the screen lid? I'm in Pennsylvania and it's been very cold and very dry here but since I covered roughly a third of my screen lid (over the water bowl) and got a much larger water bowl my humidity has been completely manageable. Got a big roll of the tape from home depot for like $7 I think and it's worked wonders for me. Had a complete shed since and looking like we're going into shed again here now so will hopefully have the same results!