Roger -
The design you and I were recollecting is the HAHSA (Heat And Heat Storage Apparatus), invented/design by Kenneth Darby of Falls, PA.
Here is a link to a contemporaneous CSM article:
https://www.csmonitor.com/1981/0304/030458.html
Somewhat different from the TMEN article to which you linked - your article's description was closer to the Richard Hill design, I think. Dick Hill also designed a thermal mass heater (maybe for a local Audubon Society chapter? - fuzzy memory...) which is profiled in "The Book of Masonry Stoves" by David Lyle.
The HAHSA company still exists as Darby Industries (look under the heading "The little business that could...", subhead "A change in direction"), even though their focus has changed (apparently many times):
https://darbyindustries.com/about-us/newman-darby/
I don't know if the plans for the HAHSA are still available from them.
But, a rockety burner with a mass of sand or pebbles (see Paul's pebble bed thermal mass design) seems doable. The batch box burner designs might be a better fit than the J-tube style for this type of heater.
Separating the burner unit from your residence may decrease the fire risk for conventional combustion (i.e. not very efficient), but for any clean combustor (whether Hill's downdrafter with secondary air, or a rockety burner), I doubt the decrease in risk is worth the loss in efficiency. Though your homeowner's insurance company may disagree.
I suspect that a true masonry heater should be a lot easier to insure than a Hill replica, IF your insurance agent is fussy. Mine, representing a major company with fancy television advertisements, recently quoted me $60 a year to add a wood burner to my home owner's policy, but she insisted on a separate/dedicated flue for the wood stove. I plan on adding a manufactured insulated double wall flue anyway (Selkirk brand is locally available), so that's fine by me. She apparently doesn't care what kind of stove I use; I seem to be much more concerned about clean and efficient combustion than is she. But, many people here heat primarily with wood, and many more have wood heat as a backup or just for ambience, so my request for a quote to add the wood burner rider was no doubt run-of-the-mill for her.
On edit: I attached a HAHSA advertisement I found online, vintage 1981.