Just a thought Dan -
If you build a large box (cabinet) big enough to slide hanging canvases inside, perhaps a high capacity dehumidifier would pull the moisture out of the cabinet with the right exhaust hoses. A drain hose would pull the water out and away, and a dryer vent could put the hot air outside.
Meanwhile the dehumidifier dries things down quickly, especially if there is a heating strip or two inside.
Rough concept, but could be experimented with.
-Mark