I have read about the low pass rates on the Baby Bar, and this is concerning for me.
If you just want it to further your current career and not to practice. There is the EJD Option (can't sit the bar, but no fybx requirment and about 20 less credits required to graduate)
I agree with Roald, try a Calbar school with no FYLSE. but first I would also talk to admissions at Cooley candidly about the situation. Why Cooley? Because it supposedly has about lowest admission standards of any ABA accredited school. Any ABA accredited degree is always bertter than non ABA and a Cooley degree will let you take an easy bar like Illinois as opposed to the hard one in California.