I wouldn't worry too much about this. Not all schools
choose to go for NLN accreditation, which can be time-consuming and expensive. As long as they have approval of the state BON, that's what's important. Although I would stay away from a new program that has a "provisional" BON approval, unless it's just a new program from a well-established school.
I just did a search for RN jobs at the University of Pennsylvania Health System, probably the biggest health system around here and definitely choosy about their nurse credentials. The ads just stated that you had to have a BSN and a Pennsylvania license. Not a peep about your school being NLN-accredited.
If you're concerned, look at the job listings around your area. Or better yet, call the HR department and ask if they require NLN accreditation. I'm betting they don't.