Very few of us ever get to be what we might call "qualified" as for our bear killing experiences. Ive got 70 hunting seasons behind me in PA, and about 2/3 of those included hunting bear there also. I have always hunted the N C region of that state which also has a high population of bear. Yet I've known quite a few hunters who have never even seen a bear in the woods during any of the hunting seasons.
The best method for hunting them "legally" in PA would be to join up with a large group, with the key word being "large," and drive out the nastiest steepest places in the area.
That method would offer the highest percentage of success for bear in that state.
Next best in my opinion is to find a place offering good visibility for long distances, and wait for somebody else to move one to where you can see it.
It's like a hitter waiting/hoping for a good pitcher to make a mistake. And the same rule applys, hit it right now because there wont be another chance any time soon and maybe ever.
Preparation is the key element, especially with how you are set up to shoot, followed by having enough gun and knowing it well.
I don't really think the bullet matters as much as getting it there with plenty of velocity.