You said you're in a HOA...are there any words in the agreement regarding campfires? Are there other RV sites and do they have campfires? Not that it would help you or your neighbor but if campfires are allowed then you're just going to work it out somehow with the neighbor. It seems like it may be escalating with police involvement which isn't good for anyone involved.
A propane campfire was mentioned...although not the same feeling but perhaps that's an answer...or moving the campfire spot. That can't be a relaxing atmosphere for you to be in. Good luck!