After you file

You have to go through the interview to get a correct Form 8606. ( you said you did not want to do that,

but that is unavoidable unless you are an expert on Form 8606.)

 

If you e-Filed 1040 you get only one 1040-X e-File.

If you do this on paper, you don't use up your one e-File that you might need latter  for other reasons.