I am seeing this a little late, so I don't know if my input can change much at this point, but here are my thoughts, accompanied by photos of the pot I built a few years back.
By way of introduction, my design emphasized portability and storage:
As you can see the pot is a bottom pour design, wouldn't all the trouble with pot height and manipulation of the ladle be nullified by moving in that direction?
For the burner, I used a Reil burner design, modified by putting a 90° elbow on the end to redirect the flame upwards. Ron Reil is a blacksmith and his webpage is full of designs for econonomical, home-made burners. But they are loud, as is any design that relies on high-pressure propane to bring air into the venturi.
In terms of heat output, the assumption is that any decent design that is properly aspirated will achieve complete combustion, so the heat output is simply a product of how much propane is being consumed. Thus a chart is constructed showing power as a product of gas pressure and orifice size, as on this page.
My pot has a single wrap of 1" Kaowool insulation under the steel cladding. I think it is worthwhile and makes a significant difference, but you lose so much heat out of the top that I don't know that it is worth spending any more effort trying to stop heat escape from the sides. Everyone who has used my pot has ended up fashioning some kind of top cover to try to slow down heat loss that direction.