C
It's not just our existence that is special (although I think it is), it's the existence of anything that is special. It's just that the more complex the existing thing is, the more special it is, at least for purposes of demonstrating that we are part of a creation.
Let's assume, as you propose, that existence is irrational at some level. I think it is much easier to accept the pre-existence of a Supreme Being, who is powerful enough to create the universe, than it is to accept that the universe either (1) is itself pre-existent or (2) ultimately sprang into being out of nothing. Frankly, the latter view seems so silly to me that I don't see how anyone could possibly accept it. The former view has its own problems, like the laws of thermodynamics and the evidence that suggests the universe is apparently expanding from a single point. I suppose it is possible that this could be explained if the universe has undergone an infinite series of Big Bangs and Big Crunches, but that still begs the question of the preexistence of matter.
Your assumption raises another question--if existence is irrational, and if we know we exist (and I assume you don't doubt that), then why are you so insistent that any Supreme Being must fit within the confines of logical reasoning? In proceeding this way, you've stacked the deck against ever believing in a Supreme Being. In other words, if you are willing to accept that your own existence is irrational, why can't you accept that a Supreme Being beyond your own logical capability created you? At the very least, this should cause you to stop looking for the Supreme Being according to the standard means of deduction.
By the way, 4:35 in the morning? Wow.