Thanks Jeordanis! That worked. I believe it was that you set the Diffuse Translucency Weight to 1.0. I had tried just about everything else. Making the hair round and telling redshift not to let it cast shadows took away the last bit of darknesses.
I, like you showed, used the Redshift Hair Material. However, the Redshift PrincipledHair Material is newer and 2-3 times as fast to render. The parameters are different so I will give it a try and see if I can get the same great results!
Thanks, again,
Greg