Great question 1)  tenant is a serial killer (or similar 2) tenant is psycho and tries to sue me personally thinking I may settle and avoid litigation fees.

If the trust is what is called a "disregarded entity" (meaning it does not have it's own TIN and does not file a tax return) then the activity of that property is reported on your personal tax return. 

The Dominican Republic can be a great place to invest but, personally, Punta Cana would be the last place I'd invest in.Two years ago, during a meeting I had at the Ministry of Tourism in Santo Domingo, one of the head honchos there clearly told me "If I were you, I wouldn't invest in Punta Cana".

Thank you so much for the detailed advice and encouragement!

Rentredi is also a popular one (paid service) but I can't give my personal experience on that.

The property has been reported on the deceased's personal tax return. 

I'd always recommend flying out to where you plan to invest to get a feel for the market and to meet your team in person.

I would find real estate investing meetups in your area right away so you can network, in person, with other people to hear about how they handled their first landlording experience.

House hacking will also give you some personal "property management" experience.

The mortgage is likely also personally guaranteed by current owners.