Your position is irrational, and I will tell you why. First of all, Paul does not say he is talking about the knowledge of the completed New Testament. He contrasts knowing in part with knowing as he is known. There is no talk of the completed writings of the New Testament.
What is irrational about your position is that you are so convinced about it, even though the details about your position are not in the passage, and your own position runs contrary to having some sort of spiritual revelation to fill in the gaps. If you said the Lord spoke to you in a burning bush and told you that the knowledge being spoken of here is the completed New Testament scriptures... it is not that we would believe you... but at least you would be claiming some sort of revelation that your interpretation were true. You have to guess that your position is right since it cannot be proven from the text that 'know as I am known' means having the completed New Testament scriptures.
But the problem with your interpretation is that it does not fit with the overall message or theme of the epistle. Paul already wrote in chapter 1 of his readers being inriched in all utterance and all knowledge, "So that ye come behind in no gift; waiting for the coming of our Lord Jesus Christ: " (I Corinthians 5,7, quote from v. 7.) Paul already gives us a time point to look forward to, here.
And we see the themes in chapter 13 and the two chapters that follow.
Chapter 13 Chapter 14 Chapter 15
tongues and prophecy tongues and prophecy
the coming of that which is perfect the state of the believer in the resurrection
at the coming of Christ.