LOL, yeah scavenging at camp is forever busted OP, i tend not to run it just because the game eventually gets chunky and takes forever to load the next day the farther in you get.
The reason i say being Dom is easy mode is that getting a mighty strength and malevolence make you ridiculously hard to knock down from the top, like it's so easy to just be terrifying and do moderately okay and sail by. You can literally get a biomancer and corrupter from traits who are yes-men via traits, then you can just stack ludicrous nonsense on the main dude, works even better if you take the misc bonus to make all your camp folk terrified of you at the start.
Meanwhile Switches/subs actually should develop traits for diplomacy/infiltration which make the slaver more desirable, which make it easier to drop to allured after a fail, and if you've messed up too often you might get a game-over after a mission/day passes without expecting it.
Meanwhile if you're going full Sub you're probably playing with one or more of the aspects which add to it to stack bonuses, but they also stack for making you more likely to be betrayed, i have absolutely had runs where every single day there are attempts on my virginity, especially as Princess Severina.
Basically Easy/Medium/Hard is based on the fact that you are more likely to be betrayed going these routes, especially if you pick up a mind-reading slaver.
To be overthrown you basically need to be less liked or less feared than your competitor and for you to be doing a bad job keeping your slavers happy, and then lose a fight to them. Barring them from the slave pits, raping your slavers, not having supplies/money around, them failing assignments, etc.
To be made a puppet you need to be struggle snuggled enough times that you're losing 150 gold on each assignment to someone and then for them to get enough gold from that they come back with a present. or you can be hypnotized into it, or you can be convinced by a friendly spirit from a corruption magician.
I believe you can only either have a struggle session OR be overthrown each night, and i think struggle snuggles have priority normally.
To really guarantee being overthrown you can use biomancy to become super weak and super clumsy, and then put on locked slave gear that ties you up, that pretty much immediately gets you overthrown if it was even somewhat likely to happen.
For getting raped just be beautiful, have big tits, and wear revealing clothes, especially the Mysterious Letter Clothes as they have a special bonus to it and to a ton of missions for Subs/Switches. Also most traits and like half the aspects from Corruption increase the likelyhood, and if you're playing a Sub Premade, a bunch of them come with Unique Aspects that add towards it like "Pliable Subject" "Precarious Power" "Parthenurgy", etc. Obviously Seductive, Slutty, Bimbo, Sissy, Switch, Submissive, Obedient, Anal Slut, Oral Fixation, Pretty Maid, Exhibitionist, Sex Addict/Insatiable. You also want to stack traits like these on Sub runs which is what ramps the difficulty.
Oh, also doing missions inside the very nice box you can install at camp will give you a trait, and possibly cum addiction, shakko addiction will do the same, there's more im sure, but i can't remember off the top of my head.