Going without landlord's insurance. Have you done it?

[Keith A.]

I have a handful of SFH rentals in northern Texas. Insurance is awful. I go with the highest deductible possible. My agent is currently finding best rates with Travelers. Seriously contemplating going a few years without any landlord's insurance.

Have you done it? Did you keep some coverage in case of major lawsuits? Have you done it and it bit you in the rear? 

Logically I can't make a solid business case to cancel them, as the cash flow is fine vs losing it all with a tornado. But I certainly am tossing the idea around.