OK, did a bit closer look at one of Uncle Mud's videos, and it does appear the ceramic heat shield does extend into the burn chamber. So got that covered.
This is a hasty, poorly drawn sketch of what I think this might look like. I would have combustibles on both sides of the brick enclosure, so not knowing how hot a bell would get, figured a guy could put in a space between bell and outside wall as a thermal break. Once into the build, if there was room, you could put top and bottom vents in the thermal break area such that it would be allowed to draw, further cooling outer wall and drawing heat into the room via convection......in addition to radiation. The heater enclosure would be surrounded by a bell.......two legs with a crossover on top. Fire exhaust dumped into one leg......rises....goes up and over heater, then cooler air sinks to bottom of second leg, enters chimney pipe, then goes up and out the roof. There is existing stovepipe for the fireplace, and it all runs inside and interior chase. So the whole thing should draw pretty well once it gets going.