Personally, I am non binary and I use she. I'm also fine with they. My gender and pronouns aren't a big deal for me. I did legally change my name years ago. *shrug*I find do that confusing.....
'non-binary' would not include 'she' would it, as 'she' denotes female?
.....and wouldn't 'she' be paired with 'her'.
I may just be old and way out of touch.
I can't speak for how other non binary people feel. There seem to be varying specifics that individuals need to be comfortable.