BobDole, where do you live? Is it an area of the country where winter temps are regularly below 40*? Many people who are snow tire advocates (I'm one of the them) will tell you that snow tires are helpful in the cold, not just the snow, because they're made from rubber compounds that stay soft in the cold. Most all-season tires get hard below 40*, thus losing their effectiveness even when the roads are dry.
I know this has nothing to do with your black ice scenario. I'm just pointing out that you might want to consider a set of snow tires, if where you live justifies it. This accident was at 5 mph. The next time might be faster.