Okay here is the deal. Writing is writing so think
When you make up characters your mind should be flowing like a river. Lost in that world, while being disconnected from your own.
Your writing should related to the actions of yourself with the other people around you.
Do not put a race on the cover of any character because it would only lead you down the path of making characters stereotypes. You should put race only when your dealing with publishers and usage of the work itself.
F for Family is an animated cartoon and does a decent job of writing characters that are "White" as well. Again the characters just exsist but the race is not applied. That could be any family.
You can not put the center piece of something as race, it just has to come to you.