I would love for this type of site, especially if talking about "board-style" games like KOEI's old Romance of the Three Kingdoms and Liberty or Death games.
Even a RISK style war game is still popular with people.
Bot concerns will always be there, you talk about a small 0.01 btc pot as a deterrent but let me tell you that bots are happy to run for even 20 satoshi faucets! One way to get around this is to require some form of verification on player sign-up with age or some similar form of ranking to open up higher pots. And of course, player interaction which often helps identify bots in game.
I'm not a programmer but I had a very similar idea based loosely on Utopia (
http://utopia-game.com/shared/) which combines a little economy and politics to form multi-player board style kingdoms.
My contribution to such a project would be in terms of creative content/direction. Hit me up if you're somewhere serious already.