Did the Logos have a human nature prior to the incarnation?

That's a matter of definitions of Logos and human nature. E.g., if you define Logos as a man, then by definition, Logos has a human nature.

I think most Christians would hold that something metaphysically special occurred in the incarnation?

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Right. Jesus was born a human baby. By definition, Jesus has human nature. All humans have a human nature, again, by definition.

By these definitions, there is nothing to argue about.

Logos, as a purely divine witness, is not a man. He has no human nature in that sense. However, he temporarily took on human nature when he appeared as a human, as in a Christophany in the OT. Further, we are created in the image of God. Some aspects of our human nature reflect some aspects of divine nature.

By 'temporarily' I mean the divine Logos appeared in space-time's physical dimensions to interact with us as a physical human being for a short period of physical time.

I believe the resurrected Christ had acquired a glorified physical body according to glorified physics. He now has a permanent human nature as our intercessor.

I distinguish between the concepts of Christ and Logos even as they are the same witness. Don't conflate the two representations in a formal argumentation.