Do you have the mindset that will allow you to walk away if they won't compromise?

Plain and simply, anything that you are willing to take on that can compromise your investment.  

Factors to assist in determining whether miniature horses can be accommodated are whether:the miniature horse is housebrokenthe miniature horse is under the owner’s controlthe facility can accommodate the miniature horse’s type, size, and weightthe miniature horse’s presence will not compromise legitimate safety requirements necessary for the safe operation of the facility

I would compromise with your wife and show her some decent C class properties.

That would at least call For some kind of compromise between the parties

@Anna Gogos don't compromise your process 'no tenant' is way better than a 'bad tenant'!

The PM seems a bit too easy breezy on some items that could impact the property (more wear and tear damage... at least 5 people and 3 known pets at this point...) and compromise the whole landlord tenant relationship (like letting other not on the lease live there)....The pet and parking enforcement are just basic property management 101 and he should have simply taken care of this in a way that kept the tenancy together and kept you from stressing about it (that's squarely in his job description). 

Because this guy is the cheapest SOB in the entire world, and if he has compromised my health for his profit, I feel that that is lawsuit worthyWhat are your opinions?

Compromise on something else other than that. 

In San Francisco & Oakland, breach of quiet enjoyment in bad faith if proven can triple damages.Good luck & maybe do an inspection every 6 months and call it Spring & Fall seasonal checkups and write those into the lease and get them to initial, sign off on it - and give the right written notice would be a compromise until you get more comfortable with your ability to vet and place good tenants.