In my humble opinion (and having three SRT6s, I've been there / done that several times) . . . in spite of the fact that you tried to clean and reassemble the dual control valves, I still believe that is where your problem can be found. I have tried the cleaning and reassembly more than once but usually end up replacing the dual valve assembly. The tiny wires to the coils corrode or break and the coil(s) fail. The default is HEAT instead of COLD. You can get a used pair of valves on E-Bay and just swap out the upper section. That should fix your problem.
06 Chrysler Crossfire Auxiliary Heater Control Valve 1147412114 | eBay
Please report back on your efforts . . .
MERRY CHRISTMAS!