Elpusher, let me clarify. This is not a crash. This is a hangup. When the bug happens, I can still still press esc and the menu comes up as usual. I can select an option from that menu and it will execute. I can scroll around with the mouse and push the camera around the map.
The game is for some reason, simply unable to resolve the turn. Both times it has happened to me, somewhere in between triggering the attack cutscene in Core City. The next time I entered combat the bug occurred.