Why not create a page instead of a personal profile? I use one for my YouTube/Twitter persona, and it doesn’t/hasn’t required me to use my “real” name anywhere. You can learn more here — https://www.facebook.com/help/217671661585622?helpref=faq_content
It’s not a perfect solution, I know, but you can convert a personal profile to a page — https://www.facebook.com/help/116067818477568?helpref=faq_content
Of course, you will probably need access to your account first, and Facebook should be able to grant you that. They are not the quickest at actually deleting accounts, so you might still have time to get things back.