Only Ashford would know whether they'd be interested in accreditation for their Business school by AACSB or ACBSP. It's non-trivial to get it, though, and they may feel that the effort required isn't worth it.
I think if you're a student or prospective student that you have every prerogative to contact the Dean of the Business school (or whoever else you wish) to express your opinion. You pay the bills; if they don't want to hear from you that's a red flag (not that I think Ashford wouldn't listen to you, most schools value that sort of input).
I think you'll find that AACSB accreditation is more important in academia than in the business world. I think the pecking order or preference you'll find is likely to be this:
1. The Business school of whatever university the interviewer attended. (This is why it's actually sort of unfortunate that the closest state university wasn't practical, as people tend to prefer those with whom they have something in common.)
2. A Business school that most people have heard of, i.e., one of the truly prestigious ones like Harvard, Duke, etc.
3. Any other MBA.
That said, I think it's easy to overthink this. Your work experience, references, and interview are probably going to be a lot more important than this when it comes time to try to land one of those jobs you want. That you have an MBA at all should be enough if the others factors are reasonably strong.
Good luck,
-=Steve=-
B.S., Info Sys, Charter Oak State College
M.A., Educational Tech Leadership, George Washington University
Doctor of Health Education, A.T. Still University, in progress