Your targets should be Yale, Harvard and Stanford. With solid letters of recommendation and well crafted essays, I'd say you're almost certainly going to get into Harvard and have a solid chance at Stanford. My class at Yale had only 11 black kids total, so you can never be too sure there, but you have a fighter's chance there as well.
You should apply to several schools like Columbia, UVA and Michigan because they offer generous scholarships some of which are FULL rides + stipend.
And then if you have the money, throw a bone to some other tops schools in places you might like to live.