I have used breed restrictions for dogs in the past. 

Unless your market is unique, it's normally difficult for renters with large dogs to find housing.This doesn't mean pit bulls or any other breed your insurance won't cover.  

I'd look for another management company prior to renewal though you may or may not have better luck.Also check with animal control and see if they have any regulations on the number of animals in a house and specifics on bird breeds.

Proposed pets (size/breeds) 4.)

The ants generally take it back to the colony and this causes a colony to collapse (also works for some breeds of roaches).

I am fairly certain most insurers for such commercial property will not cover the property (or ask for a waiver) for this breed of dog. 

Dogs and cats with breed restrictions will allow for higher than average rent.

Competition breeds urgency.  

We don't allow dangerous breeds, but are fine with large dogs.

Combine risky breeds (per actuary tables) with poor training, and you've got way more than just damage to your property to worry about.A real service dog doesn't always help somebody with a "visible" disability.