Well, considering the small amount of actual bandwidth that (I imagine) is needed for the games, the main cost would be the hardware. What kind of hardware would be needed to host 10-20 games on one machine?
And if it were possible that we could donate funds to get said machine up and running, would it be possible that a simple interface could be set up, to allow a select few trusted people (like Llama, Ich, I dunno) to start and end the games, with just a couple of minutes actual effort spent here and there?
Not implying that anything is expected of anyone, just tossing out ideas here.
