Definitely noticing that there’s an apparent “Airbnb look” that’s emerged as the STR industry has evolved.

I'll maintain a healthy line of credit or reserve fund to handle emergencies.

Emergency access requirements are generally defined to require a fire apparatus (fire truck) access road meaning paving costs have increased to support a large heavy truck.

You could use all your money to buy the property full cash, but would you have money for other things like closing costs; other emergencies that could come up and even other investment property opportunities if they come up?

Make sure you know the name and number of a backup person in case you have to enter the apartment due to the animal having some type of emergency.

I had a sewer line collapse in my duplex last fall - the old clay pipe collapsed, causing black water leakage into my basement and I called in Roto Rooter for an emergency containment and restoration since I had tenants living in one half and was actively showing the other half.

The problem is that It seems like it will take a long time to get enough money to even put in a competitive offer currently have around 10k in emergency fund and about 20k just set aside. 

Looking for emerging markets with potential for long-term growth and favorable rental yields.

Someone will still need to contact me as soon as possible for any emergencies or issues."

You need to start somewhere, and 20k is plenty to get a $200 cash flowing property  in decent shape, unless that is your entire savings, in which case, everybody needs an emergency fund.