For optimal performance, you will need to have roughly 1.4GB of free space in the user address space before starting the game. Is that the case for your system?
As the crash always seems to occur once your user address space gets close to the 2GB mark (note, the game alone won't hit that mark, it is the sum of active programs running under your user space) we wonder why your OS does not make any use of the pagefile. Can you think of any reason why the pagefile stays empty?
We tried our best to reproduce the crashes you have but even with the highest textures and AA options at FullHD, the 32 bit version works without any issues here.