We're not a no poo family... But I do use organic natural products most of the time. I've used my shampoo on my dd since she was a new born, she has hair where my boys didn't.
I hope you get the nasties out, I can understand wanting them out.
Dr. B's soaps are good cleansers, but make hair feel strange. I use Natural Family Boutique's shampoo and conditioner. They have a baby wash, but I didn't like it for hair. I've tried other organic shampoos and they are not as organic as NFB, and the other's leave a greasy feel, NFB does not.
If all else fails, a pea amount of regular baby shampoo just this once wouldn't do lasting damage. We're all here still and most of use were lathered in the stuff! "chills up my spine" or poor parents didn't know any better. At least mine didn't.