I found the service bulletin,
A/C - Blower Motor Inoperative or Won't Shut OFF
Bulletin No.: 06-01-39-002C
Date: January 18, 2008
TECHNICAL
Subject:
Blower motor Inoperative or May Not Shut Off in Extremely Low Ambient Temperature Conditions (Replace Blower Motor Control Module)
Models:
2004-2007 Buick Rainier
2003-2006 Cadillac Escalade Models
2003-2006 Chevrolet Avalanche, Silverado, Suburban, Tahoe
2003-2007 Chevrolet TrailBlazer Models
2007 Chevrolet Silverado (Classic)
2003-2006 GMC Sierra Models Yukon Models
2003-2007 GMC Envoy Models
2007 GMC Sierra (Classic)
2003-2004 Oldsmobile Bravada
2003-2006 HUMMER H2 Models
with Automatic Temperature Control HVAC System (RPO CJ2)
Supercede:
This bulletin is being revised to update the model years that are affected and add the Oldsmobile Bravada. Please discard Corporate Bulletin Number 06-01-39-002B (Section 01 - HVAC).
Condition
Some customers may comment that the blower motor is inoperative or continues to run after the vehicle has been shut off.
Cause
These conditions may be caused by a blower motor control module failure. This failure may occur when the vehicle is operated in ambient temperature conditions of-23°C (-10°F) or below.
Correction
Replace the blower motor control module if the vehicle experienced a blower motor control module failure in extremely cold ambient temperature conditions.
Technicians are to replace the blower motor control module also called the Linear Power Module (LPM) with the P/N listed below.