I’ve been advocating for a while for an angle of approach that I refer to as theopoetics. I’ve elaborated on that in other places, so I won’t repeat it here.
I was surprised and delighted to find that my friend Bob Hitching has independently coined the term logospoetics, and is in the process of elaborating his project. There’s substantial overlap between us, and we have a lot to talk about. In the meantime, check out what he has so far.
Full Contact Christianity 
Yes.
As for the epistemic dimension of these “fields of truth,” whether theopoetics or logopoietics, I have coined the term “subcognitive awareness” to signify the ways that our appreciation of Truth exceeds “mere” rational (or verbal-propositional) expression. (If the prefix “sub-” projects the sense of “inferior,” maybe “extracognitive” or “supracognitive” would be preferable.) From an anthropological perspective, might we say that poetics engages the senses to “reach into” spirit more deeply in order to restore more life to the soul?
Yes. We actually do things for narratival reasons, and addressing the story we think we’re living in takes different tools. Abstract/cognitive tools can be useful to a point, but honestly they’re probably the least useful, and — not for nothing — the ones God Himself uses least. The world is sculpture and dance; the Bible is story, song, and proverb far more than it’s abstract discussion.
A rhetoric that reflects God’s rhetoric is long past due among God’s people.