Assuming the monthly income is not sufficient on its own, their savings or other assets should offset the deficiency. 5 or 10K is NOT adequate, but depending on the rent, 50K might be; any anything north of 100K should provide all the security you need.You still do a credit check to make sure they are not maxing out credit cards to live on and see what their historical performance has been; and background check to make sure they don't have current bad behavior.

It is in the lease that they must maintain it, but my guess is they can't figure out how to work the timer... they also have air conditioners in the windows which is not allowed by the HOA.Still wondering why I find this out from neighbors instead of the property manager... but I guess I'm not enforcing better behavior. 

I also had most of my complaints from other tenants about young adults being loud and noisy.With section 8 they are monitored by the city, so they have to be on their best behavior or they lose their voucher.

I'm not rewarding bad behavior.

We're at the point where after ten years of renting out grade C apartments in a low rent town,  we know more about eviction law in our state than most lawyers do.The corollary is to screen well, but if you're dealing with low end rentals, anyone willing to live there will have bad credit, so what you're really screening for is past evictions, lawsuits, nuisance suits by the tenant, court judgements, and criminal behavior. 

Sales" and getting listings, deals, whatever is about human behavior.  

After dealing with said patterns of behavior, my husband and I would like to proceed with eviction/not renewing their leases when the come due in June.  

Which is the first behavior you would expect.

One of my mentors told me "Don't be a pessimist, Don't be an optimist, be a Realist"Stick to factual evidence, data, & avoid emotional attachment to financial decisions.A second thing he told me, "Understand & respect the power of human emotions & how it influences behavior, it is very predictable.

Most responsible dog owners would identify dangerous behaviors and take steps to correct it, or make sure the dog is always properly secured."