Have you ever heard of Waldorf dolls? They aren't a brand, but a type of doll that is handmade of natural fibers (wool and cotton).
Unlike plastic dolls, they are very huggable and soft and perfect for the young child. Since they are usually handmade, that can be in any skin shade, with any type of hair color or hair type that can be created with natural fibers.
If you are crafty, it could be something you could create yourself.
You can do a search online for waldorf doll for baby or infants.http://www.etsy.com
is a handmade craft website where tons of moms are selling beautiful things for babies. It could be an inspiration for you to see what is out there.
I'm biracial (tennessee hillbilly/filipino) and would have loved dolls that looked like me when I was young.
Good luck with your search!