I had that problem last year, but not like these "sting-happy" bees. I couldn't walk into the barnyard without getting dive bombed. I split them last June, and left the original hive and queen in the woods. They seem a lot calmer in March than come May.
I put 5 frames in a nuc, then went and got a queen from a local. They'd been queenless about 24 hours, I held the caged queen over the nuc, brushed the bees off, held her over the hive, and noted the difference. They either love her or want to kill her.
In researching what to do, I found what was called the "finger test." The idea being the happy bees would move when prodded and the angry bees would just hang on red eyed. Problem is, lonely bees don't want to let go either. If you watch, the angry bees will want to sting the cage, tear the screen off, and torture the invaders. The lonely bees will sidle up and make all kiss-kiss and nice-nice.
After a while you can prod them and get them to move though.