Yes the Bible does tell us what to eat for good health. In Gen. 1:29 we are told that our food is to be fruits and vegetables. This is the food our bodies were created to feed on. Permission is not given to eat meat until Gen 9, over 1000 years after gen 1.
In Gen 9, when God gives us permission to eat meat, it is not a redesign of our human anatomy. We are still herbivores by design. It seems obvious to me that herbivores who try to live on a meat based diet will live sick and die early. They just are not getting what they need from the meat.