I am a rocket mass newb myself but I do know a thing or two about building (although more from a commercial stand point than residential).
I am not sure if your chimney was built as a regular fireplace with gas added later or if it was originally build for a gas fireplace. Keep in mind, that the flues for gas appliances are usually designed for much lower temps than a regular stove or chimney. It may come down to temperature much more than which kind of gas is being exhausted. Also, gas appliance flues are also usually fairly small, so it may not be large
enough for a rocket heater. You may not care what
local building codes say, but it is something to keep in mind.
Make sure you know how your house was put together and what exhaust temp will be safe. I am sure others here can cover how much mass you need to run through to get a temp where you need it if you decide to proceed. I just recommend using extreme caution for something designed for gas appliances.