The HVAC controls do turn on the cooling fan relay directly... this also turns on the AC compressor, now if the AC is dead, meaning no pressure, the fan will shut off as soon as you select a non-AC setting on the HVAC controls. But if your AC is working and you shut off the HVAC controls, the cooling fan stays active until the pressure in the system drops, then, if the coolant temp is low enough the fan will shut off...
Each one of these three paths is supplying a ground to the fan relay. My guess would be wiring, check your C500 for corrosion/loose connections as well.
[This message has been edited by carbon (edited 05-05-2014).]