icloud login stuck at verify email address

Hello,

Please help! I am stuck and growing more and more frustrated with not being able to log into icloud. I am able to successfully log in using my icloud user id/email address & password. I am then prompted for 2-factor authentication and successfully confirm. Here comes the frustration, I am then prompted to verify my email address and upon providing any email address, I am denied the ability to proceed. I've tried many different options and none have worked. Please help, I am going nuts!!!