by meat i assume you mean the tissue that would normally be prepared and consumed, correct?
I dont figure there is enough rib meat to worry about with any bullet of any caliber at any velocity.
perhaps the answer is easier than all let on. buy a accurate rifle, practice and have the patience to take well placed shots in areas other than the hams and shoulders.
I used to shoot a lot of deer in the neck until someone showed me how to cook a rocking neck roast.
seems to be a big target area behind the shoulder.