A number of schools do offer full scholarships, and yes they are very competitive. Your GPA definitely would be in the range for these, and the fact that you are a foreign student might help with admissions boards that look for diverse perspectives. Even with those considerations, you'd probably need at least a 170 to get a full ride anywhere.The Law School Admission Council (LSAC) and American Bar Association (ABA) maintain an excellent directory of ALL ABA-Approved law schools. This directory includes the number and percentage of students getting a full ride or more than full ride, as well as other information. You can even search by these statistics. For example, Univ. of San Francisco gives 1.4% of their student body more than a full ride, and an additional 27% get more than half of tuition paid for with college Grants and Scholarships.
It's all a sliding scale. If you have a competitive LSAT and GPA for the top schools for just admission, you have a great shot at scholarships among the next level of schools, and at full scholarships one level below that (not tiers, I'm still thinking first tier).With a 170 and a 3.8, you'll basically have your pick of full ride scholarships from schools ranked about 30 downward. Cali might be more competitive (I didn't apply out there), but consider the whole West Coast. Washington, Arizona, Arizona State, etc.