Had a similar thing asked me a few years ago when painting and decorating, I used to do a fair bit of maintenance work on a local b&b that was having pretty much the same problem
In the end I cleaned the sills up and re-painted them, when they had dried I put a couple of coats of clear matt exterior varnish over the top
It won't last for ever but if its a b&b they will have running maintenance costs anyway and it should keep them happy for a couple of years