I wasn't aware that Carpenter bees and Bumble Bees could sting. We have carpenter bees here (they've bored holes in the eaves of the garage). They dive bomb us when we dare to venture into their "territory" but they've never stung us.
Funny story.....we used to have carpenter bees at the old house. They loved our wood privacy fence around the pool. Made big holes in it and guarded it like it was their own! Whenever DH would go out to clean or put chemicals in the pool he'd take a whiffle ball bat with him (those little plastic bats that kids play with) and smack those carpenter bees into high heaven! It was so funny to watch (from the bedroom window). He'd be out there jumping around, swinging that stupid bat for all it was worth, sending bees sailing all over the place. Mostly into the pool, though, so he got to dip them out!

It was hysterical to watch because he was such a big, tall guy. That little bat looked like a spoon in his hands!