My gut reaction is that a
Bushbuddy stove or something similar should work just fine for what you describe. At least I see no reason why not. My understanding is that the Bushbuddy is a "rocket stove" with secondary combustion.

Or you could make your own, here's one description that seems promising:
Penny wood gas backpacking stove


As soon as I get my greasy fingers on some esbit cubes I plan to test them in my "survival cup" (just a stainless double walled cup that I've cut apart to create a minimalistic wood burning stove. Inner layer is the cooking / drinking part, outer shell is the stove part). No secondary combustion, but it works quite OK for what it is. I'll let you know how the Esbit experiment plays out, but with current trends it might take a few weeks or so.