Medicaid not paying NICU bill

Hello, I am looking for advice… My baby was born late September and was in the NICU for 70 days. We are fortunate that my primary insurance covered most of this. We were told in the hospital that our baby would qualify for SSI and Medicaid based on her birth weight, but that we could only apply once we received her SSN (I have since found out that this is wrong advice). I waited for her SSN and immediately started the application through SSA. We were eventually denied SSI due to means testing (you have to make less than $2000/month for your whole household). I assumed our Medicaid application was still in progress and wasn’t told otherwise. Fast forward to February and I call to inquire about my Medicaid application and there apparently isn’t one. They restart the application and are able to backdate it 3 months but this doesn’t cover the only bill I actually need paid by Medicaid, since it’s now too far beyond the date of the bill. Medicaid blames SSA and the SSA doesn’t care. Has anyone experienced this and is there anything I can do? We are in NC. Thanks!