I had considered putting the dump load somehow in areas between the firebox and the the outer shell.
I know there are materials out there that will absorb a ton of heat and retain it.
If you could dump to the firebox somehow, perhaps the dump could keep your firebox hot longer or even make it so you can decrease the amount of wood needed to bring the oven up to temp.
The oven in question is a round domed earth oven.
Coils themselves wouldnt hold much heat as all the heat made would be radiant heat.
The Idea would be to capture the heat generated by the dump and direct it, to be absorbed by the firebox.