help picking a .416 bullet

[mtbfarms]

I would like your thoughts on what is the best .416 bullet for really long range shooting/hunting (1000 yards and beyond) The gun is actually a muzzleloader being built by swing lock custom muzzleloaders http://swinglock.net/416lrt.php

It can push the rocky men 450g around 2700 - 2800 fps.

I'm looking for accuracy and performance at extreme ranges.

thank you