I think that this would work:
Tundra Input1 --------|NO|-- (Out of the Controller)---| |-- (Your Thermostat)---To Tundra input 2
Tundra Input1 --------|NC|-- (Alarm of the Controller)--------------------------------To Tundra input 2
(Lot of editing trouble here with my wire symbols
you can go with 1 wire to tundra inputs, was only easier to write...)
The controller OUT must be set to heat for the maximum of the temp flue you want, let say 450F (with an 100F degree hysteresys or some kind of programation control for it to not On and Off rapidly near the 450F value) The damper will be open as long as it does'nt reach 450F and the Tstat is demanding heat. If 450F is reached, it will close the damper until 350F (hysteresys) and open again
The controller Alarm must be set to 250F, it will open the damper until it reach 250F, regardless of the Tstat.
I think I will try this controller next winter, my wife doesn't care about creosote and all wood burning parameter... you know !