The State agency shall select a local agency in accordance with the following priorities: First consideration shall be given to a public or a private nonprofit health agency that will provide ongoing, routine pediatric and obstetric care and administrative services; Second consideration shall be given to a public or private nonprofit health or human service agency that will enter into a written agreement with another agency for either ongoing, routine pediatric and obstetric care or administrative services; Third consideration shall be given to a public or private nonprofit health agency that will enter into a written agreement with private physicians licensed by the State in order to provide ongoing, routine pediatric and obstetric care to a specific category of participants (women, infants, or children); Fourth consideration shall be given to a public or private nonprofit human service agency that will enter into a written agreement with private physicians licensed by the State to provide ongoing, routine pediatric and obstetric care; and Fifth consideration shall be given to a public or private nonprofit health or human service agency that will provide ongoing, routine pediatric and obstetric care through referral to a health care provider.