I just read about
hypocausts in
Low<-Tech Magazine archives. Here are details on wikipedia:
https://en.wikipedia.org/wiki/Hypocaust
TL;DR: Primitive radiant floor and/or un-forced-air heating. It's a kind of basement level where air is heated and the heat is either absorbed directly by the thick stone floor above it, or delivered through vent channels between the two chambers.
...And according to LTM, later uses of the hypocaust (as in, the Middle Ages, not in Ancient Rome) included large slabs of rock that would absorb the heat and then provide heat for large upper chambers for as much as a week after only a single firing. Maybe combining this tech in some way with a rocket mass heater you could warm in the winter, and then cool things down in the summer? Attach a solar-powered fan to draw the warm air into the hypocaust chamber, cool it down, and then force it through wall pipes to the ceiling, perhaps...? I suspect that a well-made RMH would be sufficient for this purpose, and the underground chamber would serve better as a root cellar. But I wonder.
I originally read someone's post about regulating temperature in a building by cooling/warming air drawn through a subterranean chamber and didn't want to gum up their thread with this. But it's an idea that percolated in my head and I wanted to share it and see if anyone had ever attempted this.