Mike,
A controlled expansion bullet (GC2) would be a good choice for most of your Black Bear there, but since you might stumble into a trophy class bear, I'd go with a bullet designed for a delayed expansion for deeper penetration in the 260-300 grain range (GC3). Something like a Speer Grand Slam, Nosler Partition, Swift A-Frame, etc.
Actually the same bullet class would be a good choice for elk too, so that would keep it simple for you.
I'll PM you on the powder.
Larry
FWIW, my go-to for my 375JDJ's was the Hornady 270 Spire Point. With it I was good to go from prairie dogs to elk.