So, the same heat or lack of heat is on both sides of the hump? If so, I can only imagine it being the controller. It should recalibrate every time you disconnect/reconnect the battery.
Hunner....where will you be putting resistors?
Well my next step before preceding was to contact you!
so here is what I found from GM.
#PIT4704A: HVAC Temperature Goes Full Hot When One Click Off Full Cold - keywords A/C AC actuator air compressor door heat heater mode - (Feb 18, 2010)
Subject:
HVAC Temperature Goes Full Hot When One Click Off Full Cold
Models:
2006-2008 Hummer H3
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This PI was superseded to update the Recommendation/Instructions. Please discard PIT4704.
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The following diagnosis might be helpful if the vehicle exhibits the symptom(s) described in this PI.
Condition/Concern:
Some customers may complain that the temperature will go to full hot when they turn the temperature one click off of full cold. The control head is defaulting to Emergency Mode (this provides HOT air for safety reasons which would be available to clear the windshield in Defrost mode). This will happen if the feedback voltage for the air temperature actuators are out of range.
Recommendation/Instructions:
Replace the HVAC control head with part number 25920831.
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However if I found the right part it is about $250 dollars.
So some more searching I found that this might be a poor man's fix.
This supposedly would get the reference voltage (5 volts?) regulated again if the switch circuitry has failed.
The light blue with black stripe wire, terminal f circuit 1688, on the driver side of the hvac control head needs 68 ohm 1/2 watt resistor installed inline.
What do you think Mr. Wizard??