Diane, Dewpoint and RH are interrelated, dewpoint is the point where RH reaches 100 %.
Evaporative cooling will work better at low humidity, that is correct. Inside your house the RH will be low if the house is air conditioned. The cooling coil pulls a lot of the moisture out of the house.
I can't imagine this being a good idea in a house, it takes a lot of care and feeding. You would be blowing a lot of moisture around unless you figured out a way to seal the unit up. You do need good air flow for it to be effective.
If you have a cheap thermometer you can tie a string to the end, wrap some a layer of paper towel around the bulb and attach it with a rubber band or string. If you twirl it on the string you will see the effect at the existing conditions. It can really drop in temperature. (You would have just made a sling psychrometer, it's a tool used to measure RH.)
If the room was 77 F anfd the RH was 90%, the temperature drop would be about 3 degrees;
at 77 F and 70% RH, 9 degrees;
at 77 F and 50% RH, about 15 degrees or 63 F.
This assume perfect coupling which you can get on the thermometer, the pot in a pot would be tougher. I don't understand where the air flow comes from in the pot it pot. I'm not saying it won't work, just that I can't see it doing much unless exposed to air flow.
Joe