I am familiar with Concord's EJD program and would agree with the advice here. Not because the program is faulty, it is not in my opinion. However, it does not appear to meet the OPs needs, which appear to be having a useful degree that will benefit their law career interests. I also agree that if the OP was rejected from Concord's JD program, they probably need to (prepare first) and retake the LSAT.
Now to actually answer the question about DL alternatives, I suggest looking at Cal Southern. www.calsouthern.edu/online-law-degrees
Like all of the online programs, since Cal Southern has almost open enrollment, the bar pass rates are very very low. However, the curriculum is sound, you have to pass the baby bar to progress to second year, and if you are a serious student, you will be eligible to sit for the California Bar exam upon completion . . . something not available through the EJD program. We use Cal Southern to resolve scheduling conflicts when our students end up with two required courses on the same night and need a DL alternative to avoid waiting an extra year to finish our JD program.
The following link is to all of the correspondence and distance law schools in California:www.admissions.calbar.ca.gov/Education/LegalEducation/LawSchools.aspx