Looking for a way to keep my apple account but remove my iCloud email address from being active or able to receive emails in any manner. Similar to how google allows you to do what is listed in this article: https://support.google.com/accounts/answer/61177
I suggest you change the email address associated with your iCloud account to a new address.
Change your Apple ID Steps below taken from Apple Support document (US) HT202667
If you no longer use the email address that's associated with your Apple ID, you can change it. You won’t lose access to your contacts, purchases, or other account information.
How to change your Apple ID to a different email address
Go to appleid.apple.com and sign in.
In the Account section, choose Edit.
Choose Change Apple ID.
Enter the email address that you want to use.
If you changed your Apple ID to a third-party email address, check your email for a verification code, then enter the code. If you didn't get the email, click this link.
If you use services like iCloud or Messages to share with friends and colleagues, sign in to those services with your updated Apple ID.