Look up your state statutes and case law on the subject to see what your liability could be potentially if you have an injured party (the seller) who presses the issue.Here in DC we are seeing many a seller lately being represented by legal aid on fraud by inducement issues with wholesalers. 

If someone injures themselves and sues, they will be suing the LLC and not you personally.

Worker's comp just means that if one of their employees/workers get injured, these policies will kick in. 

Airbnb directly injures hotels business.

If someone injures themselves and sues, they will be suing the LLC and not you personally.

If someone injures themselves and sues, they will be suing the LLC and not you personally.

Downsides:house burns down and insurance doesn't payheavier wear and tear on house and neighborsif city stops STR the tenant stops paying just like any otherfrat boy is permanently injured jumping from roof to pool and sues youneighbors sue for nuisancecity/county fines stuck on owner

I would assume that you don’t know if he carries insurance and with that being said you should consider yourself lucky simply because he or if he had any help didn’t get injured working on your property.

Could the injured party come after you for allowing the dog?

If someone injures themselves and sues, they will be suing the LLC and not you personally.