Meet the Ondol, a traditional Korean system for heating one's house
By placing the fire and chimney on opposite sides of the house and constructing a tunnel between them, heat is pulled through the tunnel, heating the floors and helping distribute heat more evenly.
Radiant heat using pumped hot fluid (I think usually a water antifreeze mix in a closed system) in tubes attached to the underside of the floor, seems like the closest, safer mix. Could be reasonably solarpunk if the source of heat is good
Yeah, it might be better to have it be a boiler system instead, with water piped around the house. Or since the house will have the heating in mind during construction, then make the heat source centralized with proper insulating house walls.