Update time! After another a month and 1766 eggs, BAM! Shiny Jungle Pattern Scatterbug! So, here are my results so far...
Running Total:
Archipelago - 87th egg
Monsoon - 1079th egg
Tundra - 2615th egg
Polar - 4401st egg
Jungle - 5472nd egg
I have added my results to the doc, my personal odds...