HM - do a google search on no poo. There are a few forums talking about hair types. You may need to wash your hair more often or use more bicarb. The cornflour should help absorb excess oil during transition.
Preggasaurus - going 12 days in is an awesome effort and you'd be so close to a turning point. If I had to condition my hair I use raw honey watered down (has to be raw though available at markets). Honey is a humectant, antimicrobial and antibacterial. It also has a pH of 5 which is neutral. If you do a google on honey no poo it may be a better option for you than the ACV.
Eta: A good boar bristle brush is a must have too. It distributes the oil evenly down the hair shaft so it can do its job and condition your hair.