Alan, have you tried concrete for the mass?
Concrete can cope with 400 celcius before it degrades. If the exhaust of your rocket after the barrel is above 400C°, it's not running right. It's no good for the core if pure portland is used. But proof of using portland mixes in crucibles and forges is about on the internet.
Gyan, for added safety, you could make the transition area from barrel to mass out of metal even better stainless steel, joining to a pipe. And pour concrete all over that. Concrete if it goes over 400C° flakes off, and if you have metal, it might flake off, but it will not fall blocking the exhaust. It is good practice to make a cleanout at the transition area too, so you can clean fly ash accumulating there.
Remember, if you don't want to loose your heat, you need to insulate bellow and on the perimeter.
Concrete releases the heat a smidge faster than cob. IIRC it doesn't take as many BTU per kilo, or volume than cob. But it doesn't insulate like cob does. So, they're prety much hand in hand thermal mass wise. It's far less green tho.
Increasing the capabilities of cob and concrete is easy thought, add stones to the mass. Concrete mortar has gravell in it naturaly, while cob hasn't. Add your stones near the pipes first, but the more you put in there, the better. I think 70% stones, 30% concrete mortar is doable. Plus, you can do your floor in the same time, using stone slabs of some kind. But the same goes with cob. The heavier the stone is, the better it will hold heat.
Another nice trick, if you don't mind kneeling to light your fire, is to set the core below floor height (still insulated for sure!) with the mouth of the feed tube at floor height, like that, you can brush the dust directly into the pit it forms

Very handy in a woodworking workshop.