We live on an estate with excellent security so theft/burglary is not a significant risk.
We were advised by a real estate agent that most gringo houses are concrete and rebar so what is there to burn down? They are also built to earthquake and hurricane standards. If there was a natural disaster which affected houses such as these any D.R. insurance company would not be able to pay out and the cost of insurance from an overseas insurance company was out of proportion to the risks involved, a view we agree with.
So we carry no insurance, and keep our fingers crossed that we are not struck by lightening, but the costs of repair would probably not exceed the insurance premiums saved.