If you are shipping the bike un-crated it may be best to leave it in one piece as the airline is going to move it around. If you are strapping it on to a pallet make it as small as possible to reduce the volumetric weight.
Uncrated you can save a little by taking the mirrors off, maybe the screen as well, letting a bit of air out of the tyres and compressing the suspension with some straps.
If you send it air freight the cost is going to be by volumetric weight.
Example, 2190mm X 1500mm X 910mm and gross weight is: 210kg.
Convert to cm 219 x 150 x 91 = 2,989,350 cubic cm / 6000 = 498.225 so the chargeable weight is 499 kilos
Where are you shipping to?
I have two Transalps going to Montreal by sea in a crate, the costs are,
Crate - £120
Shipping £430 including collection from my house
Clearance charges in Montreal - CN$ 280
Around £700 in total, takes 10 days on the sea and 3 or 4 days unloading in Montreal.