There is no way they will ever listen to me but if they want unbiased news reading from a credible news reader, Brian Lamb would be their man. Let's face it, though, it's not about news reading anymore - it's about slant.
Another possibility is to not have a permanent anchor. I occasionally catch BBC World News and they seem to bring on a new news reader just when you become familiar with one of them. CBS could line up weekly guest news readers forever.
A shameless self plug. This was my comment at 4:05 yesterday morning and I just noticed the headline on Drudge. Maybe CBS is listening to me through my tin foil hat?