–There is excessive and disturbing noise.

–Your enjoyment of your property is diminished.

–You have asked the person to stop the noise (your letter should be enough to prove this).

To prove your case, you can use police reports, witnesses, recordings, your own testimony and the testimony of neighbors or other witnesses.

The amount you’ll want to ask for will depend on how much the noise bothered you. Did you lose sleep? Were you unable to carry on your usual activities, such as reading, playing music or talking to friends? Decide on a reasonable dollar amount per day, and multiply that figure by the number of days you’ve been seriously bothered. The amount of money you can ask for in Small Claims Court is typically limited to $5,000.

You can sue him today for all that he has put you through. Then help your neighbors do the same paperwork so they can sue him as well. If you can make his airbnb business unprofitable, he will stop using doing airbnb.

For instance, every single time that something bad happens, you should sue him in small claims court. Given that he doesn’t live close to the property, it will be more difficult and costly to respond to these lawsuits. If you are suing him several times each month, you are going to get his attention.

Talk with a creative attorney, who can recommend good ways to make his life miserable and reduce the profitability of renting his house out through AirBnb.

Other suggestions:
Make him get a NoiseAware monitor so he knows its happening
Code Enforcement (Complaints to city about his property not meeting codes)
Are you in a neighborhood association, which has guidelines against this?
Complaints to the city about a nuisance neighbor
Zoning violations?

Google is your friend