Okay, I talked to Ringman about the battle royale system and he agreed that he doesn't see how else it would work without dice. There would need to be a random element just to prevent god-moding. We didn't get into too much detail on an actual system, though we did bounce around the idea of modifying Wushu to fit. If you have a system in mind, though, we could do some test plays and see how it handles.
I don't have any sort of system in mind, I'm afraid.
I am curious to how the Wushu system would work for this kind of RP though. If you want, you can PM me what you guys have in mind for a Wushu modification, and perhaps we can work something out.