Should I get BBA online & cheaper, then MBA at higher end school?

I am currently a BBA student at a in-state college, I am wanting to transfer from my current college due to bad experiences with professors and such. My questions is this - Would it be best to get my BBA at an online college at a cheaper price (Franklin University), then get my MBA at University of Cincinnati? Or should I get my BBA from UC as well?

My reason for asking is that a full-time, well paying job opened up to me and the only requirement is that I must be perusing a BBA, and more positions will open up once I get the degrees. Of course Franklin University would work better with my schedule, but I feel the degree from University of Cincinnati would look better.

Thank you all!

Cincinnati is accredited by AACSB while Franklin has a lesser accreditation. For some MBA programs, a BBA from an AACSB school is preferred.