The spirit of my criteria is to keep from ending up with a menagerie of animals being moved in damaging my property.

They are a different animal.  

If the neighbor has proof it is their dog (like a picture or something), he can report it as it is not legal, although not sure the police or animal control would do anything.  

I am looking at a package deal of 21 SFR properties in southern Indiana though a different animal it will be interesting to see how your deals play out.

Qualified assistance animals allowed as a reasonable accommodation only after a process of determination which requires a written and signed agreement.Credit: We do full credit and background checks.

You asked some great questions and @Mark Redmann gave some great insights.Driving for dollars and large direct mailing lists are really two different animals.  

(They bought these dogs maybe 6 months ago, and weve been putting up with it since)I realized yesterday that this was completely unacceptable, and that these animals were literally affecting our property, its usage, our privacy, and our well being in the community.We called and left a message 90 days ago, and also sent a letter to the owners, and heard no response.

A limit on the number of animals is perfectly reasonable.

Something with a brand new roof that needs to be replaced in 15 years and something with a worn out roof that needs to be replaced immediately are two very different animals when you plug them into a real world model.

Talked to a grandmother yesterday who's daughter moved in with her and left her house (with her animals in order to show her house)--and one year later the water pipes burst and damaged the house significantly.