A 4" J-tube system is very small in heating capacity, and would have to be fed probably every 10-15 minutes. A 4" batch box would have something like double the heat output per hour of burning, and would have to be loaded much less often. (6" batch boxes are supposed to burn for an hour or so per loading; a 4" would be less, I don't know how much.)
Insulation is even more important in small systems than in large ones, so 1" of insulation around the riser may not be enough. I would make it 4" inside and 8" outside, with 2" of perlite-clay.
Do you want purely a tall bell, or would you want any bench too? I really think a heated bench that you could at least sit on if not sleep on would make you very happy, and be comfortable without need for higher air temps.
I think a bare minimum bell size, given the 8" OD riser, would be 12" x 12" inside, thus at least 20" x 20" outside (only one brick thick). A 4" batch box probably needs about 25 square feet of internal bell surface to extract the right amount of heat, so a 6' tall bell 1' square would do it exactly. You could easily make it 5' tall and expand the bottom of the bell to make a heated seat.
For
RMH purposes, masonry is said to conduct heat at around 1" per hour, so a 4" thick wall would be hottest around 4 hours after you start the fire, then start cooling unless you made another fire. It would probably stay warm overnight, but not to keep the space at 65F all night. Brick fins that extend more than a foot or so from the heated parts would probably be useless.