This may not be a hot topic for most, but from what I have seen thusfar, highly ranked NAIA programs rank with high level DII programs. For example, UNF, an outstanding DII lost to both Embrey-Riddle and Flagler in a week's time. Both these NAIA programs finished in the top 12 last year. Of course it could be said the both caught UNF "down the road", but I suspect this is an interesting sampling for your topic.
I also know that both of these programs play roughly 1/3 of their schedule against DII programs.