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You're going to have to own this. Seriously. It's your bill, even with health insurance. It's on you to ensure the appropriate entities handle their part because as you are seeing now, no one is on the hook but you.
Call the hospital and see if they have any sort of forgiveness. I've had success having hospital bills brought down a LOT by just calling. Then make arrangements to pay the balance. More likely than not, once you pay it, they'll delete it. When was it added to your reports?
If you are ultimately able to get the bill paid by an insuror, you can then have it removed from your credit report without any need for reliance on any other process, such as the so-called HIPAA process.
I would pursue obtaining payment from the insuror,and if they pay, notify the CRA and the CRA will remove based on their own policy of deletion of medical collections that are paid by medical insurance.
For unpaid medical debt that is reporting on your CR:
1. Call the OC and see if you qualify for Charity Care
2. If not then ask that they recall the collection in exchange for full payment
3. Send the reporting CA a PFD offer
4. Google the HIPAA Process and contact its creator for help