To get a twitter account, don’t you have to give them all your PII?
Full name & phone number or you can use an email. You can choose a username so your real name (assuming you give them that to start with) doesn’t show up.
Here’s the link that shows what you need:
https://support.twitter.com/articles/100990?lang=en#
I use a Tracphone & have an email address (separate from the one I use all the time) just for stuff like this.