Turns out there is a simple fix.
I got out my Haynes Repair manual, and located the wiring diagram for the HVAC controls etc. Afterwards I went to the car to locate the wires.
They are in a wire loom, electrical type sticky wrap, coming from the center console. They are in the same loom as the fan power wires, the actuator wires continue on up to the actuator.
Snip the one that is to open the acuator for fresh air.
I remember it was pink and white. Snipped it, used a strip of electrical tapes to secure the two ends, problem solved. No more clicking. Although it now stays on recirculate, which is fine with me.