I find 0% possibility (complete disbelief) and 100% probability (complete belief) about equally (un)reasonable.
I don't understand how an intelligence that exists would be considered anything but supremely "natural", so I guess it depends upon your definitions of "god" and "nature" and ... :-)
I'm not sure "beyond physical reality" and "beyond reality" are equivalent. What if the nature of our reality is non-physical (in the normal conception of "hard" matter)? It makes a difference.
I think using reason (the basis of the scientific method) will always be useful. Take a gander at my post: Can I know the truth of things beyond the physical?
And how would we ever know that? I replied to your post, but it seems quite silly to me. The examples given of "non-physical" things are clearly physical to me, based on the readings and lectures I've seen.
We come to discover the unknown/invisible (presently non-physical) via its effects by the use of reason (anything that affects our reality - if it doesn't, is it "real"?).