You could look into syndication, however even that will require a significant upfront investment in legal and marketing fees.Good luck!

If this property had an actual LEGAL sale since then, can't think of a reason it would not show on Zillow.Zillow also shows that the property is in the Bethune Neighborhood.

They usually have skiptrace companies that offer contact information if you have the address 

They also run the risks of high levels of regulatory pressure and litigation by virtue of their renting to legal wards who have access to free lawyers and zealous bureaucrats who see independent investors as a crop to be harvested.

Something tells me you won't be working 4,060 hours to do so - 80 hours a week year round.If it is a more active rental model that it is not considered "rental" income, then you would need to put in at least 100 hours with that being more than anyone else (employees, contractors, management company, etc), or you would need to put in at least 500 hours.So your "quick" question is actually fairly complicated. 

Can I legally reject someone because they are going through eviction proceedings currently?

They point to the company doing 30-40, which is directionally consistent, deals a month so you wont necessarily find it in any database.

My concern is being able to find a company or anyone to help me do this. 

Any idea what this would be called and how to structure it legally?

This is not specific legal advice, just my opinion based on estate planning/asset protection background.