Another way that you could do it is to operate the pump as a solar booster pump. You would connect the pump to a power relay and plug a low voltage cable from relay into the two-pin socket marked SOLAR on the EasyTouch motherboard.
The solar circuit is activated when the water temperature is below the set point and the solar sensor temperature is above the water temperature.
You can use a 5,000 ohm resistor to make the solar temperature sensor read 106 degrees all the time.
That way, the pump is activated whenever the water temperature is below the set point.
You can use an actual temperature sensor near the heater to detect when heat is available if you would prefer to do that, but I don’t understand how you control the heater being on or off.
It seems that, with wood, you just let it run until the wood burns out.
In that case, it seems like you would need to have the booster pump running the entire time to make sure that the heat exchanger didn’t overheat. However, that doesn’t allow you to control the temperature of the water.