Matt, my brother, nephews, and I have killed a slug of deer with the Sierra 125g Pro hunter and 125g Nosler ballistic tip.
We shoot win748 between 49-52g and accuracy is usually the size of a dime. 200 lb deer just fall over, with velocity between 3000-3200 turning their innards to spaghetti. Even a el cheapo old mossburg shoots 1/2' with the loads not bedded nor freefloated, nor trigger job(impossible on this model).
You can shoot a big bullet, but it really is not necessary. You can use the same load with the tipped barnes triple shock on elk(or deer if you are feeling particularly insecure). You can shoot deer up the butt with the triple shocks, you will not find the bullet as it will exit the chest.