Is teaching for a biology program without "specialized accreditation" bad for your career? I plan on graduating with my PhD in May and am currently job searching for academic positions for next fall. 

I am looking into applying to be a full-time biology faculty member at a school which is accredited, but where the biology program does not have "specialized accreditation" for the field.

The question is: is it worth it? 

I understand that attending a non-accredited school as a student can be detrimental to long-term success, but is the same true for TEACHING in a non-accredited biology program? Maybe more specifically, what are the pros and cons to working for a non-accredited program?      

As a related follow-up: which would be better (or perhaps less worse) for my career as a university professor: full-time position at a poorly ranked non-accredited program or an adjunct position for a accredited program at a better-rated school?
In my experience, very few biology programs are accredited, for example at liberal arts undergraduate colleges. But they're still important, since liberal arts students still ought to be exposed to biology. So I don't think that association with a good quality teaching program will hurt your prospects as a teacher, but unaccredited programs tend not to engage in research very intensively, if at all. So as others have mentioned, you should probably consider a post-doc at a research school if that's your goal.