Ok re-read your posts and determined that all of the modes do work. Just no air movement.
The air mix actuator would have no affect on actual air flow so it is not that.
After rechecking the blower motor, there is also a blower motor resistor that controls the speed of the motor. This may be shot. Its located in the path of airflow in the A/C controller. Single connector going to it. Pull it out once you have removed the 2 or 3 screws holding it in. Look really closely to the fins as they do become brittle over time and break causing the motor to lose speed control ending up in a non working blower.
Photo for reference:
may or may not look like this depending on your year of Bonneville.
Also to depending on what year you have like the 92-94 you can do an on board check for faults in the A/C controller. Any years after that you can only have it checked at your GM dealer with the Tech II
Please update your sig so we know what year make and model Bonneville you have!