Stig,
Great idea I use a 90 litre canoeing dry-bag which is totally waterproof (and will even withstand brief immersion) so you don't need any liners.
I got it from Overboard , but there are others available.
http://www.over-board.co.uk/duffels/waterproof-duffel-bags.htmlIt takes more than enough on our +8's luggage rack , to supplement the Hills Alive cases inside the car.
Andy