Last time I investigated flying with my bike the freight fee (I won't call it "luggage" even if that's what it would have been) was hundreds, and that's after buying/renting the shipper. I ended up taking shoes, pedals, saddle and helmet and adapting them to a borrowed bike I'd prearranged. Afraid your scenario is quite different, but maybe this will trigger some further avenues.

My concern about traveling overseas to cycle with an unfamiliar format bike is the potential for issues combining learning the new gear while also mastering navigation where traffic and laws of the road are far different. I'm not a good multitasker when distracted.

Good luck!