I've never known anyone to cook a whole turkey on the stovetop (but that doesn't mean it can't be done). Can I ask why you would prefer a stovetop to an oven?
I can only see that your method would need constant watching, and part immersion in some kind of liquid to keep the bottom from burning. I lean towards "deadhead"s" advice about using the oven, especially if your bird is stuffed. Good luck!