CBA schools have limitations, but they can be great for the right student. Frankly I would much rather attend law school in Santa Barbara or Monterey than Grundy, Virginia.
In addition CBA schools are far cheaper than their ABA counterparts.
I know plenty of successful lawyers from CBA schools, but you are limited to your geographic region. Most CBA schools are located in more remote areas of California.
San Joaquin Valley College of Law in Fresno is a large City without an ABA school for 300 miles in either direction and it is not a destination. The head District Attorney went to San Joaquin as did most lawyers in the area.
If you attend a CBA school some doors will be closed, but the door to being a licensed attorney will be open, but there is high attrition and lower bar passage rates at these schools. If you go the CBA route or even attend Appalachian, Cooley, etc be 100% sure a legal career is what you want and do not expect to make $200,000 out of law school from any of these institutions or any law school really.
Final point is if you graduate and pass the bar your a lawyer and what you do for your clients is how you will be measured. I encourage you to visit your local courthouse and watch lawyers in action you will not a hear law school mentioned once. Instead you will see people facing imprisonment, trying to convict murders win $1,000,000 lawsuit for their client, or obtain custody of their children. The clients could care less if you attended timbucktu state or Harvard if your client does not get the result they paid you they will not be coming back to you, if you get them what they want they will come back and tell their friends about you.
Do not get to caught up in the world of law school rankings and at the end of the day the law is the law and whether you make it in the legal profession will have a lot more to do with you than the school you attend. However, be 100% sure a legal career is what you want and be on notice that if your LSAT is low it may be sign you struggle with standardized testing and to become a lawyer you need to pass the bar exam, which is one of the most difficult standardized tests in the world.
Good luck whatever you decide.