After some testing I can say I'm pretty positive that the Fast Culture option is the one that causes the crashes, no idea why though.
The Inf. Money option seems to be working without a problem but as always its good to have it deactivated if you don't need it for several turns.
The Fast Research option does work (no crashes either), but has an issue with being actually deactivated even though the trainer shows that it is. It even seems to persist after closing the game and the trainer completely, restart the pc and load the game without running the trainer at all.
I haven't used Inf. Faith at all (by choice) and Fast Production still doesn't seem to work at all for me but I didn't test it much in fear of corrupting my save again :/
I hope all this can be of some help for debugging