I think BSc will give you more respect than a BA. That's not to say that the former is better than the later, but that is the way society values arts education. In the present, it is more important to have marketable skills, and not a well rounded education. Personally, though I dislike the focus on capitalism, I believe learning to provide a service is the priority to education. You intend to provide the service of crime scene investigation, and I think that you'll do best with a science degree. I would also look at taking some science courses such as chemistry, or biology, that link with the anthropology.