That stinks, why is it so hard for manufacturers to come up with a working system. What kind of refrigerator do you have? Can we get the model number (probably on a sticker inside the door) What year is the coach (helps us get a rough idea of the refrigerator year) Below are some of my thoughts.
My Norcold also has a drip tray under the fins in the refrigerator. If I remember correctly the drips have to land on something that channels the water into the drain tube.
I would inspect the drip tray on yours and see if it's intact and funnels the water out through the drain tube. You'll find the tube in the back of the refrigerator if you open the outside hatch. You should be able to route the house outside the coach, or put a little catch pan under it to keep the water off the wood.
Pour a tiny bit of water into the drip tray and see what happens. It really only needs a little bit, like 1 ounce is probably too much. Does the water make it to the end of the tube behind the refrigerator?
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2001 Suburban 4x4. 6.0L, 4.10 3/4 ton **** 2005 Jayco Jay Flight 27BH **** 1986 Coleman Columbia Popup