In my experience it always happened the 2nd planet I invaded after i encountered the bug and reloaded.
So if i have 10 planets on my list to invade, and it crashed on invading the 4th planet f.e., i will load the autosave from a turn before.
Now the 4th planet invasion will go fine, but the 5th one creates a crash. Hence and repeat.
If the crash happens during an autosave transition however, I noticed that the game itself does not actually crash, but it merely is a graphics error. Pressing esc f.e. will 'exit' and complete the invasion, and trigger an autosave, however you are just facing a BlackSOD which you can kill with task manager.