What exactly is your budget? Did you run the NPC for your schools? PSU might not be a great choice. You would pay OOS tuition and they’re not known to be generous with merit or FA. Assuming UW is same. OSU does give OOS merit.
A female interested in STEM will get some interest from schools. Maybe look at Iowa State or Rose Hulman? Look south to Alabama or Florida. S21 got OOS waiver to FSU and Honors program. COA is around $17k/year. After that look at full need schools like Rice, Grinnell or Notre Dame.
A friend has two kids at Notre Dame. I was surprised how generous the FA was for both.