@oostra, just think of it as a reach. 11.6% is very low, and it also means some majors are even lower, and some more favorable. So, yeah, apply, but it should only be treated as a reach regardless of your stats. My son had a very good GPA, and great extras, and letters of rec… I can’t think of any reason they wouldn’t want him excetpt maybe the content of essays, in which case they just didn’t see him as a fit, and so be it. Oh, and also he never communicated with them, nor visited. That could be a factor too. Good luck. I’m sure you’ll land somewhere good.
Quick edit: You prob know this, but what someone said about schools always being less favorable to OOS students is mostly true, but that’s only for public schools. Private schools would not be like that.