Things have changed a lot in recent years when it comes to interracial relationships, and I'm not convinced it's all good. I hope you don't have bad experiences with dating whomever you choose.
That being said, I can't speak for all white men, but I have a lot of experience being white. To answer your question, I look for someone who shares common interests like music, comedy, movies and such. This next part might sound ugly, but I'm being honest. Whenever I date outside my race, I am more attracted to people who aren't so ethnically different as to be stereotypes. Let me give an example. I generally wear T-shirts and jeans. I keep it casual. I don't go out of my way to point out my whiteness. If I met you wearing an a-shirt, trucker hat, and had a can of chewing tobacco in my back pocket, or had a Confederate flag tattoo, that would be way over the top. I think people look for mates that are as similar to themselves as possible. Even if they are a different race. Finally, I look for someone who laughs easily, smiles often, takes care of their appearance to look their best (not hard-body models or anything, just clean and well groomed), and who is interested in me too.