I took the crated bike on a pickup to a nearby gas station, where we lifted it from the pickup with the help of some friendly locals, dismantled the crate, and put the bike back on the road. Can´t remember what actually happened to the wood material of the crate. I did not ask, IF I could have dismantled the crate at the airport.. but I would guess they´ll prefer you take all your stuff out of there.
1300 pounds for airfreight between Europe & Thailand, does not sound too bad IMO. But the size of your motorcycle naturally also matters.