If a board maintains a hospital or health care facility for the sick of the county or if a board has delegated this responsibility to a hospital board pursuant to § 36-183.01, the board or county hospital board may enter into agreements with other health care entities, governmental entities, organizations, foundations or providers for services or facilities to provide, maintain, establish, enhance, manage or manage the risk of health care services, and disclose and make available records and other matters that identify the care or treatment of a patient who receives services, including billing information, unless the patient or the patient’s representative consents to the disclosure in writing or unless otherwise permitted pursuant to federal or state law.