So, I'm curious. I have just rolled my 12-sided die well over 30 times and no Rook. Is it possible that the street I am on is just too happy a place? When I calculate the odds based on a fair die, the chance of this occurring is less than 8%. Should I carry this up to 50 tries i will be near to a 99% chance of having invoked the Rook. Is there a hidden probability weighting based on the inhabitants of the street?
And as an aside, I think it would be an interesting addition if, when the die came up to match the local shrine, you got a donation boost as though you had used FHSP (or something similar). It would make rolling the die more of a wager than a simple summoning...