Well "Louis" isn't all wrong. In addition to the moldings dripping for 2 days after washing the rear doors are retaining water inside! I had that with my 2010 also. One day I heard water sloshing. I pulled out 1 pin that holds the bottom door seal and water came out like a fountain. I had to do that yesterday on the new Tahoe. Same thing, water came pissing out. I have to get a look under the doors and see if there's a drain or something under them. Fighting a bad cold right now and didn't feel up to it but I also didn't feel a drain when I ran my hand under the door. Years ago GM used to put plugs in the doors that I popped out of my cars to open up the factory drains.
There are two drain holes behind the rubber weather stripping that get plugged up. I used a compressor with the nozzle I use to blow up pool rafts/toys, did that on a few occasions and the water shot out in a full stream but it contnues to get clogged. I was thinking of opening them up a bit......