This is usually save-related.
Do you overwrite save files, or make a new one AND delete the old one?
Also, how many save files do you have?
I had a bunch, I cleared the saves folder... I left the latest save file only. No luck... still crashes. 1-2 minutes into the game randomly, or every time I try to save.
God this svcks. I never had such luck with FO3, or any other game. I will possibly try and re-install, but I doubt it will help.