Consult in person with a local attorney. It sounds like you may have a claim.
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Whatever you do, don't sign any document saying they are not liable. That is not to say they are liable, but you certainly don't want to agree they are not.
Generally, there is a rule that someone holding property for money has a duty to exercise ordinary care with respect to the property. Additionally, the holder of the property (bailee) cannot generally contract away all liability, but can limit the liability to a known amount. For example, you have probably seen parking garage tickets that say something to the effect that "this ticket limits our liability, read it" and goes on to say they are not responsible for damage over the amount of $500.00 or so.
Having said the above, the storage facility probably did not exercise ordinary care when they didn't contact you about flooding at the facility. Still, you probably should have gone to check on your property sooner than three months post storm. Depending upon the value of the property you could have saved but didn't because of the delayed notice, you may have a claim that is worth bringing.
Check with a local attorney to find out.
The author of this posting is licensed to practice law in the State of New York. He specializes in litigation matters relating to personal injury, construction accidents, auto accidents, slip and fall, dog bite, contract litigation, property litigation, civil rights, ERISA, and Social Security matters in federal, state and local courts. This posting is intended as general information only, is not provided as legal advice in connection with any specific case, and should not be construed to create an attorney-client relationship.