Bundling HOI into one policy question

[Russell Buxton]

I have built a rental portfolio of  7 properties and 6 duplexes over the last 5 years. I have separate HOI insurance on each policy with three different insurance companies. Each policy renews at a different time each year. As I live out of the country, it is a pain to keep sending in checks to pay for the policy renewals as my insurance company does not accept online payments. 

Is it possible to bundle all these policies into one  single policy (even though each one is on a different start date?) Any recommendations on where to start looking for insurance? Most of my properties are in NC with one in SC. 

If itis possible to put all these rental properties under one company with one annual payment, what are the dangers/drawbacks/risks in doing so?

Do companies offer a bundling discount? 

Thanks for any tips provided