All drying, all evaporation is based on the air in the room. Coated screens, water based ink, shirts in the dryer, water in your inkjet ink. Dry air pulls moisture from the ink because Mother Nature works for equilibrium - balance or equal moisture content in each.
If it's been raining for three days, there is no incentive for moisture to leave your screen or ink deposit and move into the air. A dehumidifier will reduce the moisture in the air and will speed drying time.
Office supply transparency films are designed for over head projectors, and rarely have a thick enough coating for the increased deposit required to stop UV energy from cross linking your sensitizer.
I have essays about HP/Canon thermal head inks and Epson piezo head inks.
http://www.ulano.com/ijf/epsonprinters.htm#whyepson
Drying time problems
FAQ Inkjet Film for Screen Making Positives
You can buy inexpensive hygrometers at any hardware or Radio Shack store like the Model WS-9410TWC-BP from Home Depot.
http://www.homedepot.com/webapp/wcs/...ctId=100634075