Some of those areas can also attract undesirable tenants.If you are looking for appreciation then cities such as University Heights/lower Cleveland Heights and Beachwood have been growing at great rates.

In your case I'd be spending less time calculating the ROI on 1k in rent for a $35k investment & more of my time wondering why it's possible that the house I bought is so undesirable that I was able to purchase it for $5k.  

Used in conjunction with a no pet policy prominently noted in advertising, on application, and in the Rental Agreement you should be able to minimize undesirable situations.

I will post a follow up on how things worked out for me, but I had to temporarily turn away from the NEPA market based on some undesirable experiences.

People who were undesirable at the showing are noted and are *not* encouraged to fill out an application, and if they do anyway it is duly noted.

It needed a full renovation and was very undesirable when I purchased it.

Tuxedo Park is very undesirable.

In the desire to stick to what we want (#1) and get emotional (#3), we might find ourselves with an undesirable deal.

They may not be 100% "liable" but depending on the seriousness of the issue you can believe that the authorities will drag then thru the mud before they clear them of anything.

Is probability-adjusted cost of an increase in undesirable occupants really high enough to warrant giving up $2M in valuation on a house?