How much ram your computer itself has is irrelevant. I have 6 gigs, and Sins will still dump if it hits its hardcoded 2 gig limit (How much ram Sins itself uses. Not Sins plus every other program your computer running). The diplomacy 1.2+ patches supposedly fixed the 2 gig dump issue. However the mod uses some older pre- dip1.2 files. That "may, or may not" be the problem.
The latest SoA2 dev build has TSOP fully incorporated into it to help fight the dump issues. There are also some duplicate, and unused files, and textures in the current version of the mod. That may also be contributing to the problem. The new build cleans all the "garbage files" up. If this doesn't work then I am at a total loss, and clueless as to what the problem could be.
The only other solution i can think of is to completely rebuild the mod from scratch (yet again) using the Dip 1.31 reference files. That will be the absolute LAST resort. Since it will quite literally take MONTHS to accomplish a total re-build with all of the non-vanilla data SoA2 has now.
SoA 2 users can you do a test for us?.. Run your task managers while playing the game, and see how much actual ram Sins with SoA2 enabled uses. Then post your results. The Average Ram Used "should" be between 1.3 to 1.5 gigs. This is what i get on my tests. This on max settings, max factions, biggest map, and max AI's. If you are getting any higher than 1.6 gigs then something is very WRONG. Remember JUST the ram Sins with the mod enabled is using. NOT how much total ram your system is using.
Make sure you are NOT running any other mods with SoA2 (with the exception of the Fleet Supply Mod which was designed for SoA2) Disable all mods from the mod list, and re-enable only soa2.