You may pay the OC (Hospital) and then dispute with the CRAs.... but it is likely the CA will only update the records to "Paid". After this you may write the OC (Hospital) to request their CA to remove the account. The CA may / may not do that - in fact, they are not required to delete upon payment, unless there is a written agreement signed by an authorized representative.
I suggest you follow the HIPAA dispute process - we are not allowed to discuss it on this board, but you can google it and get more information.
Alternatively, you may contact the OC, and ask if they can recall the debt (from the CA) for you to pay them.
All the best - Oyiwaa
Starting Score: USAA-FACO(10/2012) - EX=498 / EQ = 498 / TU = 508