Renew Apple Developer Program with different email address
If you need to preserve any of your apps, contact Apple developer support directly before you do anything. They have telephone support as well as web support and have been very helpful in helping me (and several of my clients) in situations exactly like you describe.

For us, if time deadline was pressing due to business needs - we simply paid for a new account and got to work until the deadline passed and then support personnel assisted us with transferring assets and/or crediting us with extra time since we had renewed earlier than normal.

It's usually far simpler to just fix the issues with the problematic account.