Just went through this exercise on a different vehicle (2003 Suburban) but the process will be the same. There are three actuators: Mode (controls where the air is directed, e.g. dash, floor, defrost, etc.), Blend (mixes hot & cold to adjust temperature) and Re-circulation (air from outside or inside only). Depending on the number of zones you may have more than one Blend actuator (the Suburban has two). Place all of the controls into their all-the-way On or Off positions. Turn the key on but do not start the engine. Listen for the clicking sound to start. As you listen to the clicking systematically adjust each control away from its initial position. Do this several times and listen for the clicking to stop and the restart once you get back to the initial all-the-way On/Off position. When you find the control (Mode, Blend, or Re-circulation) that stops the clicking you have found the offending actuator.