Hi John, I
think I know what you mean, you are saying it is impossible to fit the standard 6” J tube design in to a single barrel?
There is an ‘Uncle Mud’ design that does fit inside a barrel but it does not strictly apply the 1-2-4 ratio.
I went though all those thoughts a few years ago and the first one I built, I had to sink the fire box into the ground to achieve a single barrel cooking hight !
I have since built quite a few designs and I have found that a lot depends on how much mass you have or how big the bell is or how long the piped mass might be.
In my case I only have a small bell as mass and a direct chimney route, so I don't actually need a full hight riser to get the results I am happy with, I think that if you have a long way for the hot gasses to travel then you need to stick to the specs.
My latest stove only uses one barrel but the barrel is about 4” off the ground.
It burns without any visible smoke and gets extremely hot, if fact far to hot apart from cold spells in January and February !
What exactly do you want to build?