Sparky I can appreciate your enthusiasm with this. However, being sort of new to all of this there is more to heat than toasting bread. Now I don't know your final objective, maybe in melting lead to cast bullets I caught a few too many fumes?
I think you really need to read up on all of this a little. When anything is designed to do anything (profound statement) considerable effort is placed into things like sensors and control for heating applications. Everything from hot plates to small ovens to large furnaces running at 2,000 degrees F. requires considerable planning and design thought. This is especially true when you decide to splitting degrees into .1 degree increments from a control point of view. I think what you need to do is well define your project, not to this forum but to yourself. Then study a little on your objective. Yes, it is a time consuming affair to do that but less that, not much will happen. I am not trying to dissuade you, rather encourage you to think this through. Block diagrams are a good start but need things filled in.
Ron