You can't use an existing Apple ID and then enroll it into the store.
The "none" option only exists for new accounts as a one-time (or limited count) event for that device thanks to scammers and people that manipulate app store ratings with factory reviews and paid downloads.
You can usually make a brand new Apple ID following these steps:
It's generally a bigger pain to have two Apple ID, so I would encourage you to not set up a new ID just to avoid the temporary delay of getting a legitimate address and card for temporary use.
Once you have your account verified, you can use store credit for just about everything on the store.