whats the cheapest way

Do an online search. Also, another way to travel cheaply is to sign up as an air courier. They pay you to travel just to carry a package or documents to the final destination.

As a travel courier though you only get to spend a few days at the destination.

Well you would need to do what ever research you need to do to work that part out. I believe it is an "Open" ticket which means you can stay longer.

Depends on how much of a hurry your in.

get a job on some ship going in that direction, crap pay but free ride.

Then jump boat when you arive on the other side.