I've spent 45 minutes tonight trying to get this game to launch properly, and I've now found a workaround, so thought I'd post in case other people run into this:
If I have 3 screens active (and merged in Eyefinity to provide a single 5760x1080 resolution), the game launches perfectly. If I have the same 3 screens running merged, but also have an extended 4th screen active (1920x1080), then the game sounds play when I try to launch the game, but the screen just shows a black/grey screen with film grain on it - no menu, background, nothing.
The solution at the moment is for me to disable a screen and run with just 3, but this means I can't watch Afterburner or emails on my 4th screen. I realise there aren't many people out there running this kind of 3+1 setup, but thought this was worth mentioning in case it saves them some time.
Now, to bed and then tomorrow I might actually get to play the game!