Insted of carbon fibre I would use fibreglass might be heavier but less prone to breaking.
Or you could use Foam pads like the light weigh ones, Layer foam with the High quality bubble wrap which isn't supposed to pop(bubble wrap with a sheet of plastic on either side).
Or layer foam,bubble wrap, and reinforce with thin (5mm) rectangular sheets of carbon fibre or fibre glass (this would be towards the middle of the protection so it is less likely to shatter.