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".

In my personal opinion this is a very small issue that can be easily handled in a Saturday afternoon Congrats on having 2 rentals in this market!

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. 

You need to compare your cost of living, and overall personal cashflow each money with your current situation vs. this potential new acquisition.

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.

Maybe take a KPI online test, it will show the personality traits that are success indicators.

Keep your personal safety and that of your tenants and neighbors in mind. 

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