Mac Mini Streaming to HDTV
The Mac mini has an HDMI port and a thunderbolt port. You can hook your TV up via the HDMI port and your monitor via the thunderbolt port, although if you are planning on using a non-apple monitor you will most likely need an adapter. Essentially you'll have a dual monitor computer. Move a browser window with the game on to the TV. You can run another browser session or some other app in the second monitor.