How much to replace a temperature control cable

Hello, this kind of part replacement requires an estimate from a local shop of your choice. https://repairpal.com/repair-shops/chevrolet-repair-and-service-in-houston-texas Try one of those shops. Or your local dealership - do you maybe have factory warranty remaining on your vehicle? Before all, though, troubleshooting is needed to find out what is going on. I highly doubt that you have a concern with the "control cable" based on your symptom.