You should not need to remove the dash, just the piece of the trim that goes around the left side of the dash, over the steering wheel, to the radio. Remove the 4 screws holding the radio in, 7mm i think, pull the radio out and it will be behind it, to the right.
I read through this post and the one linked earlier in this post so I thought I would try this myself. My 2004 Denali XL is getting heat out the passenger vents when we want cold. I just to get to the actuator and its a no go. You cant even see the part through the hole where I removed the radio/gps. I have taken out the A/C vent on the passenger left and I can see it. I can touch the edge of the part and could maybe unplug it if I could get it to blow cold air. I dont like to part way fix stuff. There is an air vent right over it and I cant get to it to even feel screws much less remove them. My Denali has the center console so I guess it is configured differently. I took the top of the dash off and I still cant get to it because of the air vents. I guess I will have to remove the entire dash air vents and all to get to this actuator. This is extremely frustrating. I am thinking it might be worth paying the bucks and taking it somewhere that has done this before.