Have you considered this option?
I think you could buy the
kit normally used to add a second barrel to a barrel stove. Note the legs are designed to stand on another barrel, (round) and may need modified to stand on a flat wood stove. It radiates some of the wasted exhaust heat into the house.
I think if you could extend the stove to barrel pipe up near the top of the barrel, and the (barrel to) chimney pipe down near the bottom of the barrel, it would become a stratification chamber. I also think you could stack up multiple barrels to reclaim more heat.
The potential downsides I can see are:
1) Each barrel added will cool your exhaust a bit. Add
enough, and at some point you won't have enough draw to pump the exhaust outside reliably.
2) A
rocket mass heater working properly burns hot enough to consume things like creosote and tar. A wood stove isn't made to do that. So that stuff will leave your stove in the exhaust. The crazy amount of waste heat going up the chimney probably pushes most of it outside, preventing it from becoming a fire hazard. Cooling the exhaust, and letting it slow down by going through different sized chambers, sending it around turns and running it along curved surfaces that might cause pressure differentials seems like a recipe to deposit those things into the barrel(s). To be comfortable with the plan, I'd want to know what kind of fire hazard that stuff poses, my options for getting it out of the system, and what to do with it once I had it out.