Sounds like this would be a violation of the content policy and the terms of service:
https://www.airbnb.com/help/article/546/what-is-airbnb-s-content-policy
https://www.airbnb.com/terms
Techinically, you are not an Airbnb employee but a contracted 1099 employee. That means you do not have the same rights to use or appropriate the Airbnb logo. Now, do I think that Airbnb will come after you for putting it on your local kids football team's kits, probably not, but you might not chance it.