However, insurance is limited because it only protects you from one type of liability: accidents/negligence.

The rent-to-value ratio gets out of whack and you either can't cash flow or your Return on Equity (ROE) is horrific.

I'm guessing the dogs may have had some accidents in the house with the new carpeting since she is intoxicated and can't get up. 

But nothing more in case they fail or get into a car accident Etc, I need to have appropriate funds to replace them.

As I always say, "accidents can happen but they generally don't happen in bunches".

For insurance, the lesson that I have learned is to make sure you also increase your car insurance liability to the max(which is about 500k and 500k is little for a big car accident.) because now you have a big chunk of asset!

That is the prime age that women use men with a good trajectory to care for their young and there are plenty horror stories about this type of situation going horrifically wrong for the male.

Genuine accidents that need coverage, now you have good insurance. 

So even if you pick a state with stronger protections like WY or NV, the cause of action arose in the state where the tenant fell, so likely that the court where the accident happened would have jurisdiction.

When you record a Declaration of Homestead, Nevada law protects the equity in your home up to $550,000 from general creditor claims (unpaid medical bills, bankruptcy, charge card debts, business/personal loans, accidents) but would not preclude a seizure or forced sale of your residence from general creditors if your equity exceeds the $550,000."