I also have commercial insurance specifically tailored to photographers and film makers. I contacted my agent and they specifically do not cover aerial operations. I had to get a different policy specifically for commercial UAV operations. I elected to not cover replacement of the equipment so I have only the liability coverage I'm required by law to carry here in Canada for commercial work. I realize you are in the US, but the insurance industry is very similar. My suggestion is to talk to them - there is no other way to know for sure. If they'll cover you for this work, they'll tell you so and tell you if it will cost more. My guess is they probably won't cover it. On the other hand, if they do provide coverage but you choose not to pay the extra premium, you will know for sure that your current policy isn't going to pay out if you tried to make a claim for anything related to the UAV operation, whether it was loss or damage to the aircraft, or a liability claim.