Furthermore, even insurance carriers are worried about FHA violations and may subject themselves to lawsuits if they prohibit breeds and a tenant or owner has a valid and genuine ESA designation.

My lease also prohibits painting (and wallpapering, and any other cosmetic changes).

The ADA prohibits discrimination on the basis of disability in employment, state and local government programs, public accommodations, commercial facilities, transportation, and telecommunications.

A handful of states (like mine) actually prohibit discriminating based on source of income. 

If the short sale agreement didn't prohibit it.By the way, what did you decide to do?

I owned two condos in a building where the COA prohibited pets, and they were hard to keep rented during that time.

Many prohibit evictions or charging them for damage.

The selection criteria you are describing falls under "familial status"  and the Federal Equal Housing Act prohibits you selecting based on such criteria.  

I made the mistake of prohibiting only smoking inside the residence.

@Bobby Narinov - anything in your lease prohibiting a home based business?