is there a dog's way

no?
The cat's way is a one off thing made by a god and doesn't really have an equivalent.
But are there dog spirits, yeah. Gale was raised by one. And I see no reason some of them can't find a way to change their shape or dress up as little farmers.

for the purpose of poking around at an AU I know my dog friends might enjoy, yeah I mentally poke at it sometimes