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Now I just need a list of all the mint sheets the US Post Office has produced with unique stamps for each position.
That will depend upon what additional restrictions you might include.
If you are only considering panes of 50, there's about half a dozen. If you include any size, such as 40, 20, 15, 10... (but don't include booklets and souvenir sheets) then you're talking roughly 50 or so.
I stopped collecting them, but I was able to put them all in a mint sheet album with a capacity of 100 with room to spare. Even with the flood of issues in the past decade, I don't expect the total to exceed that.