I didn't imply that you were going to bleach your entire head. Because hair sheds 50-100 hairs a day on average, those few strands could likely shed out or fall out from the bleaching process which is what I was trying to point out. I'd hate for you to do it in vain.
As far as suggestions for moisturizers, I use Carefree Curl Activator. It doesn't stink to me, but I don't know how you would feel about it. I know it is readily available in BSS & Drugstores here in the states. I buy things that are easy for me to access. I don't do online shopping for hair products. It has cones in it but you said you use cones, so shouldn't be an issue for you there. I don't have issues with build up either.