I would say either round would be effective on black bear. However, I would be more inclined to use Partitions in the same weight class.Ballistic Tips may or may not exit. This is not a bad thing, esp on deer, but bear can sometimes be hard to bloodtrail so an exit wound would be helpful. Other choices would be Swift Scirroccos, Nosler Accubonds, Hornady Interbonds, or Speer grand Slams, in the same caliber and weight ranges as you stated.
BUT, to answer your question, the two ballistic tips you asked about will work, especially if you avoid hitting the shoulder and take out the lungs. Good hunting! Let us know how they work out.