@treillw
What would lead you to a conclusion that bullets meant to fragment would ever exit?
There may be a magical velocity and bullet weight where you may get an exit. But it’s unlikely with bullets designed to fragment.
There is no magic bullet, they all offer a tradeoff. I think you may need to do research on the typical characteristics of different bulletin designs and select the bullets with the tradeoffs you can live with.
At best to get what you have asked for in the OP is you need to launch a hard controlled expansion bullet at the most extreme velocity possible and keep the range at a distance the velocity would provide a lot of shock.
But the BC will be low, it will bleed velocity fast and the rifle will most likely be terrible to shoot and carry.
Personally, for the most part I have selected heavy and long for caliber high BC bullets and live with the tradeoff of no exit and poor blood trails.