Unfortunately in many states, calling for a beekeeper to pick up the hive is pointless, as they will refuse. Due to the paranoia about Africanized bees, many keepers assume the worse in a wild hive and won't take them. I had to destroy a hive that was taking over a storage shed about 10 years ago, after contacting several beekeepers in the area (Arizona) and getting that same answer.
As it was still a bit chilly in the mornings, I just went out at dawn while they were still too cold to do much about it, walked into the shed, set off a bug bomb and came back in an hour or so. If they had taken up residence in a better spot, I'd have been happy to leave them alone other than to collect a bit of "rent" every year

I wasn't too happy about the whole deal, but I did what I had to do.
Wasps I generally leave alone unless they are causing damage, and have never had any problems. But carpenter bees are a whole 'nother story. Those things cause big damage fast, and I have a constant battle with them.