I love the discussion and hope that as a collective we are able to reconstruct at least one plausible single sheet. I think that's a tall order and anything beyond that will be a bonus.
One word of caution regarding common backs such as Piedmont and Sweet Caporal. Cards with these back brands would have been printed on more than one occasion during the production of a particular print group. For example, several sheets of Piedmont 350 backs may have been printed early in the print group 2 production. Additional P350 sheets were printed in the middle or toward the end of that groups production. The sheet configurations of subjects could, and most likely, did change each time. This makes these backs ever tougher to figure out. Subsets like SC649 and Hindu where the sheet configurations didn't change may be the best bet.
I think the best possible scenario would be to find a printing anomaly that all subjects on one sheet shared. That's not asking for much is it?
Every little bit helps and I look forward to seeing where we are with this information in the years to come.
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