No need to worry I will provide you list of universities who accepts above average LSAT scores, so that you can check them easily.

Here I have some names of universities

Yale University 171-175
Stanford University 168-173
Harvard University 170-175
University of Chicago 166-172
Columbia University 168-174
New York University 166-171
University of Pennsylvania 163-170
University of Michigan -- Ann Arbor 164-169
University of Virginia 164-170
Duke University 167-170
Northwestern University (Pritzker) 163-170
University of California -- Berkeley 163-169
Cornell University 163-168
University of Texas -- Austin 162-168
Georgetown University 162-168
University of California -- Los Angeles 163-168
Vanderbilt University 162-168
Washington University in St. Louis 160-169
University of Southern California (Gould) 162-166
University of Iowa 157-163
University of Notre Dame 158-165
Emory University 157-166
Boston University 161-165
University of Minnesota 159-166
Arizona State University (O'Connor) 158-163
Boston College 161-163
University of Alabama 157-165
University of California -- Irvine 160-165
Washington and Lee University 155-161
George Washington University 158-166
Indiana University -- Bloomington (Maurer) 153-163
Ohio State University (Moritz) 156-161
University of Georgia 158-163
University of Washington 157-165
University of Wisconsin -- Madison 156-163
Fordham University 159-165
University of Colorado – Boulder 156-164
Wake Forest University 156-152
University of California -- Davis 158-164
University of North Carolina -- Chapel Hill 158-163
College of William and Mary (Marshall-Wythe) 157-164
George Mason University 158-164
University of Florida (Levin) 156-161
University of Illinois -- Urbana-Champaign 154-162
University of Utah (Quinney) 158-161
Brigham Young University (Clark) 157-164
Southern Methodist University (Dedman) 155-163
Florida State University 157-160
University of Arizona (Rogers) 155-163
University of Maryland (Carey) 154-159