I'm just looking for the quickest way to dry everything out - will be fixing all the issue causing the damp.
Lot's of questions which I am too lazy to answer, but here are some points.
Humidity is relative to temperature, can't remember the exact relationship and you can probably find a graph on the net, so be careful when talking about outside and inside humidity. cold air with a 100% humidity will hold less moisture than warmer air with a lower % of humidity.
In terms of drying the fabric, moisture moves from objects to air if the air is drier, the drier the air the better, I am not aware of a logarithmic or exponential chart for this. Wood drying however is well understood and humidity has to be controlled carefully in kilns as to low a humidity results in too rapid drying. This would suggest that in most instances you will not run into diminishing returns in an air sealed space.
Cost is difficult to predict, because there are 2 types of dehumidifiers and lots of manufacturers variations of those.
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