Quote from @Arthur Crum: Jay, my cousin is an attorney and he is simply looking at the contract for me.

You can simply build a relationship with a great Real Estate agent or sign up for Propstream.  

Business owners won't want to get tied up in litigation and if there is a good chance they will lose, it is easier to simply follow the contract.How would that work with a lower-end tenant? 

Officers all too often think the know the law simply because they wear a badge, when they actually know a lot less than most folks. 

Tenants simply can’t afford them and move out.

After owning the property for 1 week and putting in a lot of sweat equity, I've concluded that I want to keep the Inherited tenants based on the condition of their living space and the quality of the people, Knowing I want to keep them to save myself the headache of a  turnover and vacancy of a projected move out If I were to suddenly increase rents. 

The seller not necessarily settled, Seller simply took the only offer they had.

If her goal is to provide some of the proceeds to her ex in good faith, she can simply sell the property, have a tax professional estimate the taxable gains.

If this is simply you not wanting to accept partial payments and the rent is current, stop accepting it - and send a Lease Violation/Notice of Quit for Non-Payment of Rent - and force the full rent to be paid per the lease or start eviction.  

So there might not be enough gain to need a 1031 exchange.If there is enough gain to justify the 1031 exchange then simply treat your replacement property as you would any other investment like @Daniel Osman said.