Blockchain.info replied and said they cannot help in terms of resetting a password.
I am totally lost here

Yes blockchain.info doesn't store your password so they don't allow resetting password. Have you tried like when verification link is sended to your email keep open than tab and open your email. Click the link that will be open in next tab. And when you again go back and check first tab that is opened you should logged into your dashboard. As you only get link after you enter password for the wallet but don't know they send link even password is wrong or not.