Not having utilities to the site is a huge negative for a bunch of reasons.   

I am personally not going to be interested in any short term rental where I only profit $500/mo.  

I only ask because if you don't and have a loan on it or are intending on getting a loan on it (BRRRR method) in the future it is easier to get a loan if it's in your name and you can get more $$$ if it's in your name. 2) If there is a loan on it most lenders will give you a hard time getting it into the name of an LLC (We are in PA and tried to do the same and had a hard time changing it into our LLC then only to find out the banks did not want to lend on it cause it was in LLC and when when we found one that did they only wanted to give us 60% of ARV so we had to change it back to our name and get the 80% on it.

I don't believe we want to look at a cash out refi as we do not want to increase monthly payments on the home, effectively negating our rental income.

But I only ask to know if such a thing exists 

If you have already gotten approved, you can still get approved for another program with another lender that has a zero down conventional loan without it affect your credit negatively so long as you are getting another hard pull within 45 days of the last hard pull for a mortgage.

Rather I am looking for investing in established or emerging metro and its suburban areas (for example Austin, Atlanta, Raleigh, etc) because I only intend to acquire just 2 or 3 of them.

Replacing what you earn/your lifestyle will take more time and effortFor me it was easy to replace minimum wage with rental income and flipping   My sister on the other hand, making probably around how much you make, proved impossible for her and she had to wait to retire until she was in her 60s    I, on the other hand was able to retire in my 40s because of a more modest lifestyle for you and most people the rental route is a long route.  

I have little to no debt, cash in the bank, but the negative is that my current taxable income is only around 35K a year...

Their "assumption the landlord wouldn't divulge any negative information" is a bad one and an after the fact justification for the fact they didn't call.