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EQ has been having some issues lately. I've been able to login or request reports in the past but the last couple of months they've been acting up and wanting an ID Affidavit of sorts.
Then again I might have done it to myself by disputing off a lot of old personal info to clean up some of the identity questions I've been getting from apps recently. I scrubbed TU/EX as welll and don't have the same issue there so, leads me to believe EQ is just being stubborn. Not to mention they're still getting hammered from the breach from a couple of years ago.
I think the issue you're running into though is lack of reporting from creditors i.e. banks for the past few years. It might take a SSL or secured card reporting for 6 months to get things up and running again.
While it would seem you would have a CS / FICO you don't have bank initiated TL's that are reporting. Utilities i.e. rent don't count outside of the enhancements / boosts that have just been formulated within the last 12 months.
You need something along the lines of an SSL which can be as low as $500 and pay it down immediately to 8.9% or lower to generate a score and score an installment point boost in the process. Then after you generate a score you can look into CC's whether secured or not.
I understand the frustration of the time, effort, and money put into killing off your dopple ganger but, neither of you have initiated TL's that report and generate a score. If the theif has stopped trying to use your reports for her own gain then it's time to start being you again and initiate some credit transactions to get where you thought you were already.
https://www.doctorofcredit.com/strengthen-credit-installment-loan-using-secured-loan-technique/
While Alliant doesn't do it any longer there are other CU's that do. For instance JFCU offers a similar product where you can use the same technique.
Share Secured Loan https://jfcu.org/PersonalLoans
If you need help finding a CU or bank that offers it Google is a good resource... if you want to bounce and idea off someone come back here