I got one of these, which is perfect for the space I have, and the way I do dishes after meals...
It folds up...
It rolls up (for storage in a small space)...
And I often fold it in half, put a towel underneath, and let stuff drip dry for a few minutes, before putting everything away!
P.S. It's a Franke, and it can go in the dishwasher!
P.P.S. It works as a hotplate, as well.