Graham,
I've thought about doing a mass wall or pony wall shared with multiple rooms. That could also be a masonry wall built as a bell. This might be an easier solution just considering the maintenance of an under floor bell. The bell could also be dangerous as the bell itself would be a potential risk for asphyxiation!! Very little or no oxygen would be down there. Any maintenance plan would involve venting the bell before doing anything down there.
The idea of a bell is just a mass heat sink with an inner open cavity for the air to stratify within. Hot air rises to the top and heats the mass, cold air drops to the bottom where you would exhaust out of the bell.
In the more common series of flue pipes in a traditional RMH setup the stove is always pushing all the air out and hoping most of the heat is absorbed by the mass before the air exits. The exhaust temp would be an indicator that the mass is "heated" and also indicate how much heat is being lost to atmosphere. The mass is hottest near the stove and cooler as the air moves along the duct. In a bell only the coolest air is exhausted out of the system - at the bottom - and when the fire is out the hot air stays in the bell until the whole system cools. This should make it more efficient. In addition, if the hot air can be introduced into the bell in a distributed manner, rather then one large dump of air in one spot (like RMH's), the top of the bell would tend to heat evenly instead of having hot spots. If the top of the bell is your floor it should be an evenly heated surface and comfortable if you don't fire the stove too long. Would have to experiment with firing time to find the sweet spot for the mass that is incorporated.
The idea of pex in the mass to store and then distribute heat is an excellent idea, would also have to consider the cost of filling the system with antifreeze and keep it filled so air in pipes is not an issue. And I was looking at solutions without too many controls aside from the burn in the stove. The cabin this will be in is an open concept design so am hoping heat distribution won't be an issue. Especially if the bell spans across the few walls that will be in the structure.