36 hours isn't that long....is it a coal capacity or ash capacity worry? Please see the gravity wagon ideas on the other thread, this could be the feasibility test we are looking for!!
If it is a power outage concern we also have that issue in our area. Frequent power outages for who knows how long. I have a couple coal/wood burning buddies that live near by and we check with each other when the outages occur. If it is just a couple minute blink, no problems for any of us, no need to call. If it's out for an hour or two then we'll call each other to make sure somebody is home to check on the fire status, if not then we'll back each other up by going over to check on it. We each have separate furnace systems that would kick on if temps dropped too low, but it is in the interest of saving matches that we back each other up.
We do the same in the non heating season for generator start up too. None of us has an auto system but each is the same as far as a single plug from the generator to the panel and a lock out set up in the panel to trip the main feed when the generator breaker is on. It would not be much of an issue then except for long outages and sump pumps!