I've sometimes thought someone should pitch this as a reality TV show, moreorless on the lines of Scrapheap Challenge (http://www.channel4.com/programmes/scrapheap-challenge).

Take 2 or 3 teams of (really good) agile programmers, assign each to a local health authority and give them each a tiny budget (£10,000?) and see who can come up with the best/first working system.

If only the process of coding were more watchable...