Get in touch with Aramex, but not Aramex Shop & Ship (they're two different things). Aramex have freight options, I used them once to ship 100 heavy books from europe to uae. They pick up the package and ship it to you here and would cost a lot less than Shop & Ship.
BUT, they need to pick it up. It's not a mailbox service so if you have someone in the UK ship the bike to them first and then have Aramex pick up the package from them.
If you work at a large company they most likely probably have a corporate rate with Aramex (Again not to be confused with Aramex Shop & Ship). If you use your companies account the cost would probably be half.