Seems like a rather terrible idea to be honest.
I personally have 3x24" 1080p screens for work and I have tried eyefinity in gaming.
Granted this is my opinion, but triple screen gaming is really a smaller niche than 3d gaming.
I have 3 screens and I first spent hours trying to get games going in the large resolution, first fighting the catalyst control panel and then the game engines themselves, and when it worked it worked just barely.
Out of half a dozen games I bothered trying only one worked as what I could call 'intended' and that was half life 2, the rest kinda broke completely or had FOV settings tied directly to the aspect ratio.
360p is actually an even lower resolution than what I used to play doom in., and regular text now a days will not be remotely legible at this resolution.
In short you would be much much much better off just going with regular 1080p, and in my opinion, even if you had 3 screens.
I personally do most of my pc gaming in the hometheater on my 1080p projector, I much prefer 'big' to just 'freaking wide'.