FYI, here's a link to some rental services.
https://www.tsunagujapan.com/9-renta...ou-should-try/
I would have thought shipping it there separately would be the way to go, but out of curiosity I looked up the prices. It's not cheap is it?! Ouch!! You could buy a new bike in Tokyo, throw it away when you're done, and still spend less. Or you could buy 2 Dahon folding bikes, ride them, and take them home with you...
Keep in mind that airlines tend to lose and damage bikes. I don't know Lufthansa's reputation in this regard, but I wouldn't absolutely count on it getting there even if you manage to get it on the plane.
I'm curious to hear how this story turns out, in case i ever do the same thing. Please keep us updated.