Probably a Nosler Partition, Winchester Fail Safe, or Barnes X Bullet. I've used Fail Safes on whitetails, and said deer didn't go too far (35 yards).

But, having said all that, I'd take a hit in the vitals, with a lead solid bullet, than a miss with any one of the three bullets above. Translated: you gotta do your part and make sure that the bullet hits!