Emotional support animals do not enjoy the same legal protections as service animals (i.e. "seeing eye" dogs, epilepsy animals/seizure dogs, and the like), and moreover, their use has been so abused that even traditionally "left leaning" States (i.e. California) are passing legislation...
HOA elections are usually poorly participated in, and some mix of inertia and popularity contest. Just a few votes is frequently enough to put someone on the HOA board. Amending bylaws becomes easier then.
Do the crime, if you are willing to do the time I guess. That's civil disobedience for a cause.
As to what to make it look like??? That's a lot of birds and goats too, if I remember this thread from 6 am when I didn't have time to type, if you think a child's playhouse type design will do...