Get a hardness done on the piece. Then heat treat it as you describe.The prices 4" wide, I forgot the mug. Yeah I have some offcuts I could play with, I can get a hardness test done if I can find some ware local. How should I harden the test pice?
I would use the 400 temper........its surprising how much softer another 50 degrees make.......550 and theres every chance its softer than what you started with.
I used to have the tempering curves but someone borrowed them and I havent got them back.......but they are quite steep if my memory serves me well.