We are/were both raised in, and still live in, the "Bible Belt" as well. I've studied most world religions, have read quite a bit in that arena from the esoteric like "A Course in Miracles", "The Book of Urantia", Meister Eckhart, much of Jiddu Krishnamurti, the Tao Te Ching, etc etc to formalized things like William James's the variety of religious experience.
I've had my own, I would say spiritual rather than religious, experiences that are deeply personal and beyond the rationale of atheists. I have seen firsthand how introspection and quiet-minded observation can provide insight and intuition.
However, I also I went to science magnet schools starting in pre-school, work in IT, and am quite a rational pragmatic individual.
I consider myself to be an agnostic at the moment mostly due to a lack of options. I don't consider it to be a "weasel term". Uncertainty is ubiquitous in life. How is this topic any different? There's always Pascal's Wager ;)