The Bible is not my area of scholarship, although I am by no means ignorant of its origins. However, I suspect your problem is more basic. Most Christians believe things about the Bible that are objectively false - they identify three of the four evangelists with apostles, for example. Any real Bible scholar is going to reject the idea that the Bible is literally true, and in fact what is taught under Bible studies in most fundamentalist colleges is, I suspect, rubbish.
I think you and PH would do a credible job teaching the bible. You have objectivity and don't feel threatened by the content. OTOH a YEC teaching Evolution would be very difficult. They have neither the objectivity nor the background and would feel "dirty" obtaining that background.