To get back on the topic of how to protect yourself against a claim being made in the US.
First off this is not legal advice. You should speak with your lawyer to confirm and take the steps necessary to protect yourself.
Presumably you have a written lease that is executed by your tenants. You need to add a provision that all claims must be made in ....(pick your jurisdiction but generally where property is located) and be sure it has a clause that makes choice of law the foreign jurisdiction. If you have this then it should protect you. Not from being sued but a simple motion to dismiss or change venue it almost if not all instances will remove the suit from your domicile.
Look at charter contract provisions, cruise ship and live aboard dive ships for examples.
Another possibility is a clause that requires all disputes to be settled by arbitration.