Go to a shop that does packing. There's one in the basement parking of Starling Mall @ Uptown damansara that does custom boxes for people to ship things out. Its basically thick cardboard box with high density foam custom cut to shape and size of your product with proper support to keep everything not moveable. Essentially the same way your monitor is packed when it came in a box. The boxes they've custom made have shipped things way more expensive and fragile than your monitor. So you should be safe.

Its not too expensive also considering the cost of your monitor. Should set you back around 200-300, most of the cost is labour, not materials.