We use a buddy heater a lot. It takes the chill off the air, but doesn't heat like a wood stove. It has a carbon monoxide detector that automatically shuts it off if the levels get high, but do you want to trust your life to it as you sleep?
If I had to have one I would choose the wood stove every time.
Get a wood stove. Most average size stoves will put off so much heat in even your big tent that you could walk around in your underwear. You will also be able to dry out all of your stuff. You couldn't do that with a Buddy heater.