I see absolutely nothing wrong with white binding - though I don't recall that I've ever used it. But, you are going to be washing a baby quilt more...
i am a English woman of a 'certain age' lol. When i was little my Aunty Lizzie who i adored taught me to do patchwork the old fashioned british way. She taught me many things, she was a suffragette in her youth and was a very fine lady. Life took over, career and children and it was only recently i rediscovered patchwork which led me to quilting.