Happy New Year everyone as well!
The most cost-reasonable method I've come up with is using a video capture device (fairly cheap one shown here
http://www.monoprice.com/products/product.asp?c_id=108&cp_id=10810&cs_id=1081003&p_i d=5616&seq=1&format=2), which plugs into your computer via usb, allowing you to record the video to the computer.
A side benefit of this method is that it also potentially allows you to stream the video as a webcast, depending if the computer/internet at the venue is good enough.
On a side note, I'm currently working on some revisions to MadStream (for those of you who don't remember, it's a webcast aggregator by Team 1323, and we used the site for the CalGames and MadTown Throwdown off-season competitions). I'll be working on some documentation for how to stream/archive in detail and hopefully work some more with the guys at TBA to make the process easy enough so that more regionals get streamed/archived. If anyone has any ideas and would like to help, please send me a PM.