What kind of thermostat will control home temperature with outside wood boiler?
Those outdoor boilers aren't as controllable as a gas furnace. I think your best bet is to hook up with the boiler manufacturers for their recommendations. Barring that, look at thermostats designed to work with hydronic systems and see if they can be adapted to work with your equipment. Good luck with it. I'd ask my uncle in Minnesota, but I don't know if he still uses his boiler anymore.
