Joseph,
You said regarding Paul: First he states that the person described was caught away "to the third heaven" then he says the person was "caught away into Paradise." But Paradise can't be in heaven, so Paul must not have meant what he said.
I apologize for misleading you. This is the WTS explanation of Paul's words, not mine. Do research on what Paul, one of Gamaliel's students, would have understood "third heaven" to mean and I feel it is safe to say you will dispense with the belief that he referred to the world's governmental system or to a covenant. I believe he meant what he said.
You mentioned the Law, the New, and the Kingdom. What happened to the Abrahamic? Wouldn't that mean Paul was caught away into the New covenant (the third)? I can't really think of any basis for your teaching on this point.
As to human beings becoming non-human beings in the Scriptures, I wholeheartedly disagree that there is no provision for that. The resurrected Jesus is not called "a different human" but a "new creation" If he were a creation like Adam, it wouldn't really be new, would it? Paul said we will be "remade" like Jesus.
Paul meant what he said about the "third heaven." More to the point, he knew what he was saying. He knew what his readers would think he meant and he wrote nothing to dissuade a misconception on their part, if as you suggest there was a misconception.
The readers did not believe the "heavens" were covenants. I am unaware of anything in the entire Bible that suggests that "heavens" can be interpretted as covenants (I have read six different translations).
If you have some basis for this teachings beyond your own conjecture, I would love to see the research. In this case, I would want to see specific examples of the covenants being referred to as heavens. I can't remember a single occurence of that in the Bible.
AuldSoul