I really think that the fist ogl (that gave birth to the pathfinder tsunami) was the golden age of RPG creativity. Following more-or-less-ogl just add confusion (imho)
I prefer contiguous but my players are not crazy about campaigns (and the commitment it requires). So I play episodic and most of the time, my adventures are one-shots with different characters / players, taking plac ein different places at different times.
As far as I'm concerned, I think that creature of divine essence cannot hurt mortal beings directly (and vice versa)
Therefore, Each side has to rely on agents from the other side to accomplish its purpose.
Then, no stats needed for deities.