My question:
Do you think I should put a damper on the 6in going into the chimney?If you have an "air-tight" stove AND if you can regulate the air going into the stove (which it sounds like you can) then you have automatically regulated the exhaust. So in your case I would not use a damper in the exhaust pipe. Think about it like this: If water is running through a garden hose, it doesn't matter on which end you stop the water flow, because by blocking either end you will have stopped the flow on the opposite end.
*Dampers were first used in NON "air-tight" stoves to control the air flow going through the stove and pipe, to slow down or speed up the air going through the stove if you will. That in turn controls the burn rate and hence the heat output.