I recently accepted a research position that is not necessarily NICU related but may be what you are interested in.
I am working for a neonatologist who has been funded by the NIH to look at the incidences of and correlational factors of birth defects. I follow the patients through pregnancy and delivery, and then visit the infants while in the hospital and obtain a heel stick. My background is a BSN and 5 years of L&D, Mother/Baby and SCN. I didn't have any prior research experience.
If you are looking to try to get into research into a specific area, I can only offer you (since I've only been in research for a veeeeryyy short time) to check into the medical colleges in your area; that's how I stumbled upon this particular study. If you are willing to relocate, the college I am employed at has numerous studies going on:
Surf the site and you might find something appealing.
Sorry it took so long to reply to you.