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It's actually a close call.
Landlord is responsible for the value of the lost use of the basement in proportion to the rent. But, since you also knew that something was wrong, if you failed to move your belongings, then you may be found contributorially/comparatively negligent for your own property damage -- which would limit your right to recover.
You definitely have a case for property damage and partial constructive eviction. But, I have a feeling that the court will assign you with some of the liability for your injury.
Everything matters. I don't know if we're talking about small claims court damages here ($10,000 or less), or whether this is a regular civil suit. Regardless, the more credible your reasons for leaving your belongings in the basement, the better your chance for recovery.
The reason why I'm mentioning this issue, is so that if you sue, you won't be taken by surprise. You need to show that it was not reasonably foreseeable that your belongings would be damaged by leaving them where you did.
You're welcome. I sincerely XXXXX XXXXX the best in your legal endeavors.