Boy, I know that you could have a different background for odd and even rounds, but that would only cover 2 of the suits.
You could also have 4 different screen sets (of say the main screen, just with different backgrounds) and have them rotate, but it would be hard to match that up with the round changes, the background would just change at your specified time interval.
I can't think of a way to make it do exactly what you want (doesn't mean there isn't a way).