Don't go to a non ABA accredited school unless you have exhausted all other options.
You should consider recent ABA accredited University of Massachusetts School of Law which had a median LSAT of 144 for the class that started in August 2012. The class profile is set forth in the below link:http://www.umassd.edu/media/umassdartmouth/schooloflaw/admissions/law_profile_2011.pdf
Before you attend a Non ABA- California only accredited school you should first consider a law school that is committed to gaining ABA accreditation. Law schools seeking ABA accreditation are frequently new law schools started by established colleges, universities or law schools which has the necessary financial resources to achieve ABA accreditation.
The following law schools are seeking ABA accreditation:
** Belmont College is a respected 4 year College in Tennessee started a new law school and is working towards accrediation but to my knowledge it has not had the ABA site team review yet.http://www.belmont.edu/law/index.html
** Concordia University is an established college with an enrollment of 3,100+/- studets in Portland Oregon. Concordia statrted a new law school in Boise Idaho and welcomed its first law school class this falll (2012) . I am not sure why a school in Oregon chose to start a new law school in Idaho but it did.http://www.concordialaw.com/
** John Marshall Law School (Atlanta) was accredited by the ABA in 2005. John Marshall Law School decided to expand enrollment and this fall opened a new campus in Savannah Georgia as "The Savannah law School". http://www.savannahlawschool.org/
** The Indiana Tech Law School will open in Fort Wayne in the fall 2013. Indiana Tech is a private college founded in 1931. It is a respected undergrad school with an undergrad enrollment of 5000+/- students. http://www.indianatech.edu/Academics/Law/Pages/default.aspx
** The Thomas M. Cooley School of Law with four (4) existing law school campuses in (i) Lansing Michigan, (ii) Grand Rapids Michigan, (iii) Auburn Hills Michigan, and (iv) Ann Arbor Michigan expanded enrollment by opening a fifth (5th) law school location in Tampa Florida this year. http://www.cooley.edu/tampabay/
Let me repeat- - only attend a non ABA accredited law school after you have exhausted all efforts and been rejected by the above established schools which are working towards accreditation.
Good luck & don't get discouraged.