Here's some of your strangeness.
"I prefer to refer to the reality represented by such names as Brahman, God, etc., as absolute or non-dual reality, meaning it can't be known or described by any conceptual process....ever."
What the hell does that even mean? If it can't be conceptualized then how and WHY are you referring to it as if it's something that even matters? And that "serendipitous appointment with infinity", What's that?
Show me how this gobbledygook matters in everyday life.
Steady down son...
But first please understand that the conceptual language being used in this post is used merely as an expedient to explain how conceptual understanding has its place, but ultimately it turns out it is a barrier to direct (non-conceptual) understanding.
Are you familiar with the zen "finger pointing at the moon" analogy?
The reality represented by concept of the moon is the image of the moon.
A conceptual description of the moon is represented by the image of the finger pointing to the moon.
So the point is that is you want to 'see' the moon directly, stop looking at the finger.
Now when it comes to say, the reality represented by the concept of absolute reality, one can read and learn all there is to know conceptually about the universe, cosmology, religion, philosophy, etc. etc., but at the end of the day, these conceptual descriptions, theories, etc., are analogous to the finger pointing to 'absolute reality', they are not actually 'absolute reality'. For that reason I explain that actual reality itself is on the other side of the conceptualization of reality, in the same way that the actual moon is not, and never will be the finger pointing at the moon.
So the question you ask is how can the reality represented by say, the concept of absolute reality, be apprehended without conceptualization? The answer is... by ceasing conceptualization, cease thinking itself! When the mind is still and free from thought, there is no mental interpretation going on in the mind to obscure that which is actually present....absolute reality. The moment your mind thinks about it, you are looking at the pointing finger again.
Now I am not knocking the importance of conceptualizing, it is a prerequisite to apprehending that which the conceptualization is 'pointing' to.