Two summers ago I was working on a dead Silver Maple removal. Before we started the job I noticed a "ball" of bees around a hole in the trunk. My only experience with bee nests was with Africanized honey bees in Organ Pipe Cactus National Monument in Arizona, and it was not an experience I wished to repeat.
I called a local beekeeper/expert. He was close to 90 years old--he wanted to move the bees, but was too old to climb the ladder to the entrance of the hive (about 20 feet up). He loaned me a bee suit and head gear. He told me that the bees probably would not attack unless I was aggressive towards them. He said that they amazingly are not agitated by a running chainsaw, but that the pounding of an ax would piss them off quickly.
I talked to the client, and we decided to leave the lower 25 feet of the trunk as a bee sanctuary, removing the limbs above that were hazardous to the houses. And the beekeeper was right: I ran the chainsaw right down to within two feet of the highest entrance to the hive, with bees flying all around me, and never got stung. They looked at me, but never became agitated at the vibration of the 044 cutting through their tree. I never even wore the bee gear he loaned me.
This is my only experience with bees, they and their log remain. I have no experience with actually dropping the nest on the ground, surely that would piss them off. But if you can work around them and you are not excessively allergic, it can be done. Honey bees are an important part of our environment, and we should help protect them when possible.