The Bible could be taught in a religious studies class, but you have to stick to teaching it in a non dogmatic manner. I suspect that is not possible for the vast majority of programs. As example consider what will be taught in this Texas Program.
Chancey's review found that the course characterizes the Bible as inspired by God, that discussions of science are based on the biblical account of creation, that Jesus is referred to as fulfilling Old Testament prophecy, and that archaeological findings are erroneously used to support claims of the Bible's historical accuracy.
He said the course also suggests the Bible, instead of the Constitution, be considered the nation's founding document.
That doesn't appear to stick to a secular and academic approach, but it does sound a lot like missionary work.