1) I don't know if you've used it before but you could bring back the black vote. I remember in Dono's Nepal, when the favorites' alliance imploded on itself post merge, everyone would blame Link for their elimination and he received the black vote 5 times in a row (it was called the idol of suffering as it added one vote, but it's the same concept, it adds an extra vote). The only difference is, you should make it private, like no one knows who the eliminated player voted against.
2) Placing two idols in each camp, one is real, one is fake.
3) You can start season with an endurance challenge, like, they have to check in every hour or something, then after 24 hours, the 20 people with most check ins stay, the other 8 leave. And if say like 12 favorites and 8 fans made it, you keep the tribes uneven.
4) After the immunity challenge, the losing tribe faces another challenge in which the winner has the option to nullify someone's vote at the upcoming Tribal Council.