Stewart,
This is going to be challenging without the budget to afford the professional hardware and software usually used for three-screen events--unless I have misunderstood your previous post.
What do you have in the way of video distribution and switching to handle all these sources?
Revisiting your TripleHead idea, you could play your three-screen sync video from a single laptop if you create a single movie with the three channels side-by-side. In 3072x768 mode, the TripleHead only pushes about 15% more pixels than full-raster 1920x1080 HD, so a high-spec computer, judicious video compression, and lots of testing could veriify smooth playback. It's far from ideal, but it could work.
Walter Soyka, Principal
Keen Live, Inc.
Presentation, Motion Graphics & Widescreen Design
RenderBreak: A Blog on Innovation in Production