Dead thread but I recently picked up a used 04 XL and had the same issue...driver side would blow cold for 10 seconds then switch to hot. Didn't matter if pointed at feet or face or windshield...
I tried the pulling fuse trick, to no avail...it did not reset it.
Finally, I found this and a few other sources and removed the driver door blend actuator before buying a new one...cleaned all the grease off the black wheel and the contacts and bent them down a little to ensure good contact. Put it back together and holy LORDDDD AC is finally kicking and cold in that thing! What a lifesaver because I need to keep this car cost effective, I have a kid, it's hot out...and the passenger window assembly is screwed too...bad combo.
I signed up for the forum just to thank the posters in here...forums save us DIY guys and a lot of techs out there.
Here it is, removed from under the plastic cover
Here was the blend motor taken apart
and here it is, making me happy