Yes, mine is the same thermostat and I don't have a heat strip in the A\C that the clicking sound comes out of. Here goes: Make sure the Single Zone LCD thermostat is in the Off condition. Press the "+" button and, while holding it, also press and hold the On/Off Mode button for 3 seconds. LCD will show --. Press the On/Off Mode button again to turn system off. This completes the initialization. The furnace On/Off temperature differential should be set at this time.
"Furnace"- Furnace Mode
In the FURNACE mode the system will cycle the RV's furnace On and Off based on the room air temperature and the temperature set-point on the Single Zone LCD thermostat. The system can be configured to operate using an On/Off differential of either 1 degree F or 2 degree F. This feature is programmed during the system initialization. To set the temperature differential the system must be Off. Press the "-" button and, while holding it, also press and hold the On/Off Mode button for three seconds. Release the On/Off Mode button. Then release the "-" button. Press the "+" button to toggle between "d1 and d2", "d1" for 1 degree F differential and "d2" for 2 degrees F differential.
When I did this originally I thought it would be better to have d1 as the setting. I still had the clicking. When I got fed up last weekend listening to the clicking I did the initialization again and this time I set if for d2. Don't know if that did the trick or just redoing the initialization again, but it worked with no more clicks. Hope this helps fix yours as I know what you are going through.