You could just daisy chain the RF switches together in series, I'm not sure how the video quality would be affected but it's possible. Two of those systems mentioned could use AV cables instead of RF without needing any modding so that's another option to reduce the need to switch between cables.
I am happy to hear someone is still using the original hookups instead of modding the systems, I'm the same way but I don't currently keep my systems hooked up to my TV so there's no switching between cables.