I would come up with some loads using a few different bullets, then I would shoot a few of each into wet newsprint at the longest expected hunting range. You could cheat a little and use a reduced load at short range, but your velocity might not match real extended range velocity as close as you'd hoped (I don't believe that the difference in RPMs between full power long range vs. reduced short range loads makes enough difference to matter). Besides, if you intend to hunt at that range, taking some field position shots at those 12.5" x 11" bundles of wet newsprint is a good way to spend some time.
If a bullet showed promise (adequate expansion, straight-line penetration), I would also make sure that it doesn't come unglued at close range, which is where game almost always seems to show up, especially if you're loaded with an easy-opening bullet for long range hunting. I'm sure that the Barnes bullet will be more than tough enough at close range, but I'd sure like to hear your own results if you do this test at long range. Wet newsprint is a long way off from the real test of your final load combination, but it beats guesses, charts, and computer programs.
I would lean towards a Nosler 260 grain Partition, or, given the modest velocity of the load, a more conventional cup-and-core bullet. Nosler's 260 grain AccuBond might be suitable. Since Barnes bullets retain weight so well, I might also be tempted to use a lighter X-bullet pushed to higher velocity.