Some airlines allow a lot more pieces of checked luggage than others. While this depends on the origin and destination, you can sometimes go as far as up as 10 (!) pieces, see this question of minethis question of mine from when I moved to the Netherlands. I brought a single desktop computer which I stored inside the box its case had come in, with the Styrofoam padding, and with space for the mouse, keyboard and some more stuff. It made the journey fine (although I did have all the data backed up just in case). I also dis-assembled and bubble-wrapped a monitor - but that wasn't a piece of checked luggage in itself; and I'd be more worried about those.
You can have a look at some Dutch (online) stores for prices of monitors and other parts to see if the hassle, the transport costs and the risks are worth it: Alternate, AFuture and others; Tweakers.Net has a price comparison mechanism; and of course there's Marktplaats for second-hand items.