I confess general ignorance of the religious schools in the area, but while this obviously this isn't an exhaustive survey the following examples seem typical of secular schools in the area (all quotes lifted from the school's websites).
Northwest School
"Diversity is our commitment to build [a] community that includes individuals and families who represent a wide variety of ... gender identity and expression, sexual orientation"
Seattle Academy
"includes and embraces a spectrum of differences in ... gender, sexual orientation"
Lakeside
"Lakeside is committed to creating an inclusive and equitable community in which all individuals can participate in and contribute to the life of the school, regardless of ... gender, ... sexual orientation, or any other aspect of their identity."