Ive seen this reported on other AW2 maps, see:
Not 100% sure what gives the error, my guess might be down to video memory, one option would be to set a higher video texture compression setting under video settings, ultimately it maybe down to the map having too many assets trying to load into video ram, but thats just a guess, potentially editing the map and dropping the number of assets down might help to figure out if this is the issue.
On the system where it wont work what is the video memory, on the system that will run it load the map, minimise jo and run GPU-Z as i believe it shows you what the video memory that is used:
Also how much system ram is on the system that wont play it, typically aw2 uses around 240 - 400 meg of ram depending on the map, but this can vary a lot.
Also are both system using the same build/version of AW2, possibly rename the aw2 folder on the system that wont play the map to aw2.old or what ever and copy over the aw2 folder from the other system, does that have any effect?
Does the maps have any wav files associated with it, if so what sort of size are these?
Hope that helps track it down.