Is there a permanent fix for the split AC system in GMT800s?

[WyattTX]

In my 2004 2500 HD 4x4, the one side of the cab blows cold air, and the other doesn't. It has done this 2 times before, and it was fixed with a new actuator motor both times. I'm getting tired of this. Can I just eliminate the blend door entirely, and just not have a split system (assuming that's all that's blocking the air flow.)? All I want is the same air temperature, and pressure coming out of all the vents. I couldn't care less about having a split system. I just want cold AC. I'll be honest I dont know how these HVAC boxes are set up, so I would appreciate some input before I make the situation worse. Thanks.