Hi@Stephen-And-Sandy0 ;
You can always contact Airbnb for help " Hosts should contact Airbnb customer service if they have any questions about their obligations to comply with this Airbnb Nondiscrimination Policy" - https://www.airbnb.com/help/article/2867/nondiscrimination-policy
When a guest books hosts should always be checking their previous reviews. We hope that you have taken the time to write a review and rating that reflects their stay with you. This will serve as a warning for other hosts.
If you had made a positive review of this guest and then noticed after the fact the damages etc you can again contact Airbnb direct and request the opportunity to change your review or at least to have this guests profile flagged.
The Airbnb Resolution Center is also there for hosts who have experienced negative guests who may have cost hosts dearly in time, energy and money due to their poor actions. Through the Resolution Center you can propose monetary compensation to cover your losses as a result of this guests actions.
The blacklist you are looking for is the reviews. If this guest is not new to Airbnb then they will have had hosts give them a review for any stays they may have had. Absolutely leave an honest review, seek compensation through the resolution center and ask the guests profile be flagged are some of the many tools to ensure the "blacklist" as you call it is maintained.
The best security in regards to hosting on Airbnb comes from Soley hosting through Airbnb. If you accept only guests via the Airbnb platform then you have only to seek assistance from Airbnb to help resolve any matter. We have Airbnb to most helpful for assistance when dealing with problem guests and for assistance to cancel their bookings and have their behaviour flagged for the whole community to be able to witness.
Good Luck on this particular case and do send us an update on what / if any steps you take to make yourselves as hosts whole from this incident 🙂