The main issue I can see from your picture and description, is the amount of unburnt fuel exiting the riser?
I have developed a small vortex stove, it is built from insulating material but uses large viewing windows and a large ceramic glass hot plate to disperse the heat into a space. (Space heater)
The placement of the glass allows huge amounts of heat to be released which in turn heats a space very efficiently while keeping the chimney temperatures very low, resulting in a super efficient hot plate and space heating stove but, nor a mass heater as such.
So drawing the flame path away from the glass (like most stoves do) might work but if the flame is going straight up without
any turbulent hot, gas, air mixing, then it wont be very efficient at all?
However we are here to help, so if you want to offer more details then perhaps we can give you more food for thought…..