I can understand your insurance company's concerns.
Last year, while riding my horse on MY property, the neighbors 3 pit bulls bolted out from their fenced in property through an open gate. The dogs circled us and nipped at the horses legs. He freaked out and started bucking, rearing and kicking out. I ended up on the ground, on my back. I could not get up for 10 minutes as the pain was so intense. I finally got up and limped back to the house after my wife caught the horse and put him up.
I lost a few days of work, and it took about 6 weeks before my back was back to normal.
I have no love for pit bulls whatsoever.