The pedestal fan might be enough to circulate the air and stop the moisture building up. You could also try as a temporary measure to put in some cheap dampsorb containers (there are black and gold brand/generic brands that work just fine) and see if that makes a difference.
I've also heard of people buying the crystal/silica gel kitty litter and putting that in light fabric bags or a tray and using that, in some instances it can work out cheaper because the kitty litter (obviously still clean, just wet) can be dried out in the oven for a few hours on low, and reused.
Give them a go and see what happens, hopefully it will help and save you some money. If it's the same house you have previously had moisture issues with though, you may just not be able to come up with a solution, the house seems pretty poorly designed unfortunately.
Hopefully you won't need the dryer for much longer coming into warmer weather!