From what I know, they do accept new grads into their RN residency in pediatrics program, this includes the NICU. Check the link below to see what the hospital offers. Best of luck to you.
The RN Residency in Pediatrics is a paid 22-week program that provides new nursing school graduates with a comprehensive clinical and learning experience to prepare them for work in an acute care environment. It has become the national model for new graduate pediatric nursing nurse residency programs in the United States.
http://www.childrenshospitalla.org/body.cfm?id=335