Schools vary in the importance they place on test scores. Fortunately, each school reports this in the Common Data Set so you can look it up for each school on your list. Look for “Standardized Tests”, which will have a value of Very Important, Important, Considered, or Not Considered.
For example: http://www.collegedata.com/cs/data/college/college_pg02_tmpl.jhtml?schoolId=781
Very Important: Stanford, Princeton, Vanderbilt, WashU, UCLA
Important: Harvey Mudd, Bowdoin, Swarthmore, Middlebury
Good luck!