I've spent a lot of time working as a graphic artist, actually, and one of the things I do experiment with is composition. I'm very interested in this kind of equal importance of form. I'm trying to make things dynamic, not allowing the eye to find any one subject. I hope to make the whole of the composition the subject, not any particular dominant element.
I have always been interested in spacial ambiguity, also. I like the sense of flatness, I think this comes from my earlier interest in abstract expressionism. Its very easy to just start taking pictures of walls and stuff, because they're flat, though this gets pretty boring.
Dude, you seem to have selected an absurdly hard row to hoe, more or less on purpose. This SOUNDS like a completely crazy quest to create an idea of composition that is defined almost as the opposite of composition. This feels like the birth of atonal music. They had to invent whole new ways to think about music, even to listen to it, more or less. You must know that your selected target may actually be unattainable, right?
With music, we were pretty sure that the idea of tonality was a learned thing. With composition we pretty much know or at any rate believe that SOME of it is neurological wiring (and, of course, some of it is learned). In principle, that which is learned can be unlearned, or at a new thing can be learned on top of it. With neurologically wired stuff, you're pretty much screwed.
You're trying to launch a space mission to a planet that may not even exist, and you're frustrated? Duh! If you can't do it any more, don't pack in photography, look for a planet that you actually know exists, and plan another space shot. Or take some pictures of flowers and girls.
All that said, have you experimented with scale? Pollack is pointless on the printed page, on the computer screen, but merely very very difficult in real life. There may be something about size that makes this kind of thing easier to apprehend -- make it too large for the eye to encompass at once, and you change the way we perceive it, Possibly in good ways?
You could project rather than print, since printing at scale is obviously going to be.. expensive.