Cleaned loads and loads of these. If you look on the back they have a stitched on border. Get that wet and you might have problems but you would have to go some.
Test the red first with whatever you want to clean it with, SPM is what I would use, and wand it. If you want to be ultra careful just go round the outside with a cfr hand tool instead of using you wand.
It will still ripple a bit but lay flat when dry.