Did you tell them their dogs shouldn't be in your yard and that you are getting bees and want them protected?
If you allow them to have their dog run through your yard then it seems to be on you to protect your bees, by buying a fence for them.
Though I think if the does gets stung he will...
Excellent bee keeping info here! I don't have bees yet but neighbors do and they suggested never using smoke when harvesting honey. It frightens the bees into thinking their hive is on fire.
Instead if you need to distract bees to get into the hive, spray them with a mist organic sugar...