How to copy cleat angle on the same shoe?
I'm not using SPD pedals anymore but I would try following to transfer cleat position to new shoes.

I remembered that I've read somewhere that some shoe manufacturers have some kind of paper pattern to mark position of old cleats and use that pattern to adjust position for new cleats. Since I guess your shoe size iz the same for new pair, making this kind of paper pattern and marking where cleat starts/ends would be rather easy. In order to increase precission you can combine this with measuring it with ruler. 

Added: There are also products like Ergon TP1 Pedal Cleat Tool but I guess it's rather expensive for just one time use.