It appears that you may remain and sue the landlord for damages. Here is some case law for your consideration: "Upon a lessor's breach of lease, the tenant has a choice of remedies. If the broken covenant is a condition precedent in the contract sense, he may elect to move out, cease payment of rent and under some circumstances seek damages. (3 Witkin, Summary of Cal. Law, Real Property, §§ 505, 506.) He also has the alternative of continuing under the lease and suing for breach-of-contract damages." Guntert v. City of Stockton, 55 Cal. App. 3d 131, 139 (Cal. App. 3d Dist. 1976).
Did you every complaint about the noise? If so, did you do so in writing? How do you intend to prove your case? Your case is difficult to quantify in dollar amount without many more facts. Good luck.
A lawsuit for constructive eviction does not require the surrender of the tenancy.
A proper response would require a thorough investigation into the history and background of this relationship. The information provided above is just that, information, to be used as you see fit.