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I've Googled a few, but I just get a message to call?
Any rough idea, a steel road bike?
Ride it out,
Is it for a Nigerian? Hope not.
Get in touch with Metropol Couriers in Hayes, they use charter air cargo flights which is cheaper than airfreight, which is cheaper than a courier. If not Metropol there are dozens of others who do the same, quite a lot of their business is flying personal effects. We've recently had excellent service from Jetset Cargo, a one-woman outfit, though I'm not sure what her minimum charge will be. Anyway these people will probably give you some other contacts.
Where are you based?
Your main decision is whether you take the route above the balck sea or go below, above is probably slower but a bit safer
Get a quote from Fedex or DHL? I shipped a bike to the states via Fedex a few years back. Was about £75 I think.