Included in the MiniDump is the autosave, roughly 10 minutes prior to the crash. At the star "vindematrix", my enemy's home solar system, there's an asteroid called Kasuga. I have two worlds in the system, each with a media center. In ~10 minutes the asteroid is practically overwhelmed with support, and I warp my Jarrasul Evacuator in to colonize the world. For some reason at this point the game just absolutely crashes.
Maybe it's fixed, but here's the minidump plus autosave just in case.