I use a turkey roaster, but a lot of people cook them in the ground like ancient people did. One time I tried it for curiosity, and it was easy and effective. If there is no prohibition against having an outdoor fire, and little to no danger of the fire causing damage, it is still a good way to do it, especially if the rock is a type that needs really high heat.
If your stove fire were built on the ground, I know it would work. I wonder what the air circulation below the stove does to the heat.
WA