I definitely don't recommend it (and have heard some horror stories about NICU nurses in CRNA programs), but.....
If you're absolutely sure that you want to stay at your current hospital, your best option is probably CICU, if it's a high volume center that takes a lot of complex defects. NICU tends to do things very differently from adult ICUs (different pressors, different vent modes, etc.) Also, most NICUs work along a spectrum, where not every patient is super-sick--most function as a joint ICU/step-down/floor, where some shifts you take a vented 23-weeker, but other weeks you take a bunch of term kids who are learning to eat and about to go home.
CICU tends to see a ton of fresh post-ops, and use way more vasoactive drips, paralytic drips, sedation drips, etc. The PCICU where I worked actually did bedside heart surgeries where the bedside nurses administered all of the 'anesthesia-type' meds instead of an actual anesthesiologist. The treatments/meds/vents/resuscitations are still quite different from the adult mentality, but they have much more overlap than NICU. Even by working in PCICU, I had a much better understanding of the CRNA/anesthesia role than I did in the NICU.
That said, if you're feeling drawn to the NICU RN route, you may get into NICU and find you'd be interested in the neonatal NP (NNP) role. There is a huge shortage of NNPs right now since so many programs have closed, so they're quite well-paid. They get to work closely with families, and get a pretty good mix of excitement (crazy deliveries) and downtime. Downside is that NICU is your only practice setting, so that means throughout your career you'll have to take turns with your coworkers doing weekends and holidays.