It's unclear to me how that is supposed to be possible, if my selling girls to the rogues (to increase corruption) ALSO increased happiness when corruption is beyond about 75 or so. I'm already training girls as fast as I can and don't have a lot of spare time if I'm to reach 100 corruption.
EDIT: Would it help if I go back to Anarchy ? I'm usually running Communism at that point.
Every time a girl dies/ gets nuts happyness falls.
Since they sell you food and materials, just sell a few girls as fast as possible and buy material, increase prison (and other stuff you want/need). Buying from them decreases corruption, therefore you should avoid it. Doesn't matter when corruption is very low anyway. Therefore buying materials early on doesn't matter. Then sell them girls, preferable slaves, raise corruption to 100 as fast as possible, while using torture/humiliation. I tried it 3 times and you can finish it around day 35. Once i tried with communism, but council rule is probably easiest, since +1 stamina and medium suffer. But second time i tried with council rule i didn't even use reeducation since i tested supplies and built streets and used my second company on supply missions. I never had David though, he helps somewhat too.
You should use torture training most of the time when you have trouble, since it's best for suffer. Stop selling girls when corruption is maxed, otherwise you just increase happiness.
EDIT: Just take the math. Selling a girl increases corruption 2 or 3, which means you have to sell them 50 girls, but more likely less, even when you buy some materials. Evry time a girl goes nuts, happiness falls about 6 points, which means from those 50 girls, about 20 has to die, go crazy. You can get a girl go crazy nearly every round with reeducation and a lot of torture every round.