They're just on hard times, but they probably will figure out somewhere to go, rather than destroy their credit or references.You could also tell them that for future references, you will say that the lease was terminated as agreed, with just the dates of tenancy. 

Landlord under false pretense of abandonment you entered in and destroyed evidence of a crime that had been committed at the scene JUST to get rent?

They tend to destroy the property, because they just haven't developed the work ethic that someone from less privileged means would have.

As already mentioned in other replies, roots will destroy the system very quickly.  

I care that they are going to pay on time, do not destroy my house, and do not cause problems.  

I can remember a time when they destroyed people.  

I say end tenancy when the tenant stops contributing to your goals.Tenant pays rent on time, contibutes to my goals.A tenant being dirty, not preferred but still may contribute to my goals (if still paying rent, not destroying property or causing problems)Tenant paying less than market rent, not preferred but reduces vacancy loss, turnover costs, new leasing fees, etc., may still contribute to my goalsBeing dirty, not paying rent on time, paying under market rent, definitely does not contribut to my goalsI definitely would not fix the place up with the current tenant in it.

She destroyed the place and had to be evicted.  

Someone who has destroyed other properties?

And honestly, I'd start looking for a different PMC and seriously consider firing this one before they destroy any hope of a profit.I'd suggest looking for a realtor willing to manage your property on the side for a flat fee of say 15%, and they only get paid if/when rent is collected - and you make all maintenance decisions.