If you are lung/heart shooting them, you shouldn't be concerned with bloodshot meat unless you are saving the scrap rib meat.
Also, typically unless your shorts are high in the lungs, you won't get many bang flops with rib shots. If you are looking for DRT, it sounds like shot placement needs to be changed more than bullet. I'm not a huge Hornady fan. However, I bet if you put that shot on the shoulder or at least much further forward, you will get more DRT. A mono in the shoulder would probably give you some DRT and less meat damage.
Good luck,
Steve