Yes the NAIA one is equivalent to whst Carroll did. But I would point out that they killed the griz that year as an NAIA team, do I find it cute that griz fans shit on them for getting the championship through a vote because of a tie. College football worked that way for a 100 years through newspaper votes for #1.We don't shit on their two D1 NCs, although the recent one quite lucky and 41 years elapsed between them. When we talk about NAIA titles, it needs to be a Carroll discussion.
Also the Div II was definitely as legit as any IAA considering it was the same as the modern day FCS. I know griz fans don't want to acknowledge that but it's true to anyone that has followed football through the years. If you were honest you'd admit it.