Where is the "Home Computer" information that prevents syncing with other libraries stored on an iPod Classic?
I've been able to do this successfully suing rsync to copy my ~/Music/iTunes/ directory from my "Home Computer" to other computers. I don't remember exactly where the magic is, but it is within iTune's metadata.

Once you sync the first time you don't ever need to sync again. The libraries can diverge after that and your iPod will still consider them both to be the same library.