I think a really good option which was suggested previously but missed in this poll was
"Radiant Masonry Heater"
Which keeps the well known acronym RMH that is ubiquitous throughout the internet as seen
https://www.acronymfinder.com/Science-and-Medicine/RMH.html
If we are not trying to keep the same acronym and this is only for regulatory filings, I might include "Total Combustion Radiant Masonry Heater" in place of "Rocket" shorthand.