Didn't used to have been? No, it's a complete mess.
Firstly, it should be "didn't use to."
Secondly, "have been" refers to your experiences, such as "I have been to Paris."
"Used to" or "didn't use to" refers to a specific period in the past. "I used to be a chef;" "That supermarket didn't use to be here."
The two structures are used for two different and incompatible meanings. You can't have an experience that only applied in the past, since experiences last forever.
Student or Learner