I have seen a few people mention this, that they are either afraid to mow around their hives, or they DID and got a dozen stings for their efforts.. Some even wear bee suits to mow...
So, my method;
I mix round up as directed.. I buy the concentrate, usually 5 gallon pails. After dark, I don my trusty headlight and take a walk out to the hives or drive to one of the outyards..... and spray around the hives... That simple. In a few days the grass and weeds growing up will be dead.
I spray far enough out that I can mow without hitting the hives.. Having a loud mower AND hitting the hives would probably be enough to incite rioting...
At this point in time I have so far managed NOT to hit any hives..
A lot will depend on your bees as well. If I have a hive that is aggressive, and I can find no apparent reason for it, queenless, no flow etc.. I requeen them. This may have a bit to do with my ability to mow past the hives without trouble..
Home yard and 4 outyards, and I spray and mow similarly around all of them.. So, if you have about 4 minutes you need to waste watching someone mow around their beehives... Here you go!!!