BJJ Creating a new game: Jiu Jitsu Chess?

I was watching the "Chess boxing" game on youtube: View it here.

This got me thinking about doing something similar with BJJ and chess. The two games are often compared with each other. So maybe soon at a practice, I will have us do that with BJJ instead of boxing. How do the following rules sound:
  • Win by checkmate, by submission, points/advantages, or ref's decision.
  • 3 minute rounds of grappling and chess. 6 rounds max.
  • 30 seconds between moves in chess or positions in grappling. NO STALLING!
  • Alternate grappling rounds starting between neutral, top guard, and bottom guard.
  • Otherwise standard US Grappling rules.
I'll strictly enforce stalling to keep things moving. After a verbal warning, I'll give 10 seconds to move. I'll use US Grappling rules for stalling point deductions in both chess and grappling. I will allow a position to be kept for more than 30 seconds in grappling as long as I feel they are working for something.

Should I add anything? I'm not trying to make is serious. Just an interesting option instead of just rolling.

wow I thought I was the first to come up with this idea

www.chessjitsu.net

turns out this guy made a post in 2009. I published a medium article on it and everything.
 
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