Without knowing details about this (and not providing legal advice) this may be how it would work:
If the claim is in fact BS, go lawyer up. File a counter notification, wait 10 days and your content will be put back online (unless they file an injunction to keep it offline), then you file suit against the alleged infringer for the statutory damages of $150,000 per false alleged infringement claim. Likely they'll settle out of court for some number less than their legal costs/time.
Pay your lawyer, use the rest to fund your project.
Go out for a pint, and tell the story to tell on how your project was funded by out witting a scammer.