Had a quick scan though my policy and it looks like they could cover something like this due to loss of power from equipment on my property (failed breaker or something), but not due to neglect (like me failing to close the door properly).Check with your homeowners insurance agent. Lots of HO policies have a provision that covers up to $500 of spoiled contents for many reasons and with no deductible.
Unless you have any other thoughts, I don't HO insurance with cover this...