Does anyone want to give it a real test? lol.
It's been a few years since I traveled, but I always took my monitors with me. Back then you'd get the monitor nested inside a thermocoule mould, so the entire screen was covered. I'd just add some towels and pack it in alongside the bottom edge of a suitcase. They always reached without any problems, even when the airline lost a suitcase for two weeks.
Newer monitors just come with thermocoule along the sides, with the screen exposed but with an airgap behind the box. For these, you absolutely need a layer of at least half inch thermocoule on the front and back of the box. One or two large sheets of this shouldn't cost more than 100 rupees at a stationery shop. Then you could use up an entire roll of cello tape to make it water proof. Again, this shouldn't cost more than 100 rupees.
If you live in the north, or in a colder place, the thick greyish-black foam used for sleeping on the floor may be more economical than thermocoule.