I am very intrigued by this approach and will explore it a bit more. I should end up with a list of the "10" words that use all of the available letters. Also, I checked the resulting output and it doesn't include "Xolitzcuintli" but that's because I forgot to include 1 "Z". It does appear in the output when I set Z to 1.
This does leave me with a much smaller list but I would still have to identify the 10 words out of the 72 that create the solution.