If you're here looking up Blue Cross Blue Shield (SC) customer care, you probably already know who they are. But it helps to get an idea of how big they are and what their support operation looks like if you are a customer. They are considered to be part of the following sectors and industries: healthcare, insurance. Blue Cross Blue Shield (SC) is associated with terms like for-profit corporation by their customers and industry analysts. They employ less than 50 people according to customers in the know.