AirBNB/Neighbor Dispute

Here's the scenario. I own a nice little cabin on a river in central Mississippi. Very rural. No houses around except for across the river about 100 yards. I've been letting folks bring dogs for 2+ years now. Never had an issue. Its a great little cabin on a beautiful piece of land.

A few months ago, neighbor across the street gets a new dog. Its a herding dog she let's roam free during the day when she's at work. Its a friendly dog, but very annoying. Everytime a renter (with dogs which is almost all of them) comes, the dog swings across the river, onto my property, and barks incessantly at the guests and their dogs. It jumps and scratches. Knocked over my 3 year old in the river on Saturday (playfully, but still forcefully). She maintains that its the coming and going (which is frequent as we are a popular rental) of all the different people and dogs that keep her dog in an agitated state.

Eliminating pets from the rental would destroy my revenue. I have significant investment in this property and simply can't own it without maximize its revenue. Who'se the jerk, here? Me for having an AirBNB with dogs that doesn't leave the property? Or the neighbor who has the dog who won't stay on their land? Really want to be a good neighbor but also protect my business and property rights. Not to mention safety of myself and my guests as the dog jumps and scratches and could hurt a small child.