If we're going to start suggesting physical activities I'd say Brazilian Jiu-Jitsu and rock climbing are both very chess like in their emphasis on strategic placement/puzzle solving. Your limb placement, your endurance, the way you shift your weight, the current momentum, they're all your pieces and you have to play them appropriately.
I'm a huge fan of both activities because of the combination of mental and physical demands.
I'm a huge fan of both activities because of the combination of mental and physical demands.