Mostly I use Jerob specialty shampoos for my show cats, but I've used baby shampoo occasionally if someone needs a bath between shows.
What is the problem you have with baby shampoo? You should be using only the unscented type and rinse, rinse, rinse, and when you think you've rinsed enough do it again.
I have a mostly white kitten with a few splotches of colour here and there. Unfortunately she does things like
back into the full ashtray and sit down. She also seems to like to stand in her catfood leaving her paws white and wet. Within a few minutes her paws are black and gross. Any water that comes near her is freek out time. How do I keep here clean?
Fill up a dish of warm water ponk the cat in rise her off and cuddle her dry in a towel worked for us and our cat goes into 'freak out mode' when she see's water too.