I agree with GED, there are some NAIA programs you could stack up against many mid-level DI's and they'd win: Oklahoma City, Lewis-Clark State, Lubbock Christian, Lee, and quite a few others.
NAIA schools can offer athletic scholarships, whereas DIII cannot, so that may steer some better players toward NAIA. However, that could be countered by it being generally accepted that DIII schools IN GENERAL would offer a better academic environment, therefore steering better players who also have higher academic ambitions to some DIII options. But again, there are some top-notch academic NAIA's whose affiliation with the NAIA is more because of religious or niche academic profiles. Like in any other division, the 'fit' variables are numerous and it really just comes down to each individual. I wouldn't cast aside any solid fit opportunity just because of affiliation.
More guys get drafted out of NAIA schools than DIII (roughly 2-3x more depending on year). In fact, Lewis-Clark State has had more guys drafted than many DI, DII, or DIII programs will ever dream of.
Here's a fun list to peruse - NAIA Players who have enjoyed a cup - or vat - of coffee:
http://naia.cstv.com/sports/m-...c-rel/091005aaa.htmlI have read that NAIA baseball is more in line with DII.