I've killed a number of canadian black bears though only one with a CF. "Big breath" that was with a Hornady Interlock Sp 130gr fired from a 270 win. The little rascal flattened the boar with a single shot and no steps taken after the hit. Lucky I guess

!
As far as bullets I'd suggest the likes of Nosler Partition, Swift AFrame, Hornady Interlock sp, Speers TBBC or Barnes TSX. 130-150gr.
Good Luck