The 6"" limit is for J-tubes. Batch boxes scale down at least to 4" size; smaller than that is so low-powered that it would not be worth the effort for most cases. My experiment with a 4" batch box indicated that you might need to reload every 15-30 minutes, but a few loads for a small space would probably keep you warm through the night.
This page at batchrocket.eu gives proper dimensions for a batch box of any size.
I would advise making a composite bell for a system in your conditions, masonry at least 6" thick for the back and sides and metal for the front to give some immediate radiation to the space. The 4" cyclone batch box built at
Wheaton Labs heated the space overnight, but took so long to get the space warm from a cold start that the mass got too hot for comfort later. It didn't have any instant radiator surface in its bell. A system of this size would power a fairly small bench, probably not the 12-14 foot duct you show. I think I would site the core in the back where the chimney rises, to allow for an easy startup bypass if you find that helpful, with a hollow bell bench running along the back and maybe widening or turning the corner a bit.
This page gives bell sizing guidance. A 4" system would want somewhere around 2.6 m2 or 25 square feet of internal surface area, not including floor. A bench with cavity about 6' x 1' x 1' high would have 20 ft2 ISA, plus a tall section for the riser adding say 1' square x 2' tall above the bench for another 8 ft2, 28 ft2 total.
The masonry part of the bell could safely be as little as 4" from combustible framing, though I would keep it farther from things like fabric just in case. Facing the metal surface into the room above the firebox door would be best for space heating as well as safest. If you have a metal top for cooking on, I would give that woodstove clearances: maybe 18" from combustible walls with a metal heat shield spaced 1" from the wall surface.