We are a couple who applied for an EB2 employment based green card (EB2-NIW I-140) and I-485 over 25 months ago. The I-140 petitioner has a PhD from a top ten US university with great credentials. Multiple service requests and congressional inquiries later, both I-140 and I-485 are pending background checks. We are from a Muslim majority country and even though nobody can be sure, it is very likely that we have been CARRPed (stuck in the Controlled Application Review and Resolution Program). There are indicators that suggest so, for example we used to get SSSS on boarding passes a couple years ago. We have exhausted service requests, congressional inquiries, USCIS Ombudsman, and FOIA. What should our next move be? Should we file a Writ of Mandamus (WOM)? What are the chances of getting a denial after filing a WOM? How much do the attorneys charge for it and how long does the process take?
I would suggest retaining the counsel to review your case.
You can consult with an experienced and qualified immigration attorney to determine whether a request for a writ of mandamus is an appropriate option. Good luck to you.
The bad news is that you can't do anything more than you have already tried.
All you can do is wait ... a Writ of Mandamus will be a complete waste of money.
But, if you feel like giving an attorney $10,000+ ... go ahead and hire one ... it is way beyond your skill set. A PhD isn't a JD.