Thank goodness we are at a point in the world where females in engineering are not a rare enough breed where extra $$ is awarded just for being born a certain gender. However, all your teachers and friends will still think it is true.
Our HS class of 2017 engineering daughter was awarded $0.00 just for being a female in engineering. She did receive merit based on her stats (ACT 34, #10/700 and UW GPA 3.98 I believe). She wanted to go OOS but still to a strong engineering program. The deal was she had to get costs down to our in-state schools (UT and TAMU) and she ended up in the ballpark of $24-27K per year. She applied to Purdue, University of Pittsburgh and Clemson and all of those final lines were very similar. Northeastern gave her $20K a year which to some may seem generous but still put our costs at near $$50K/year so that was a no way. She got full tuition at Alabama.
Your better plan is to just target schools that will give her $$ based on her stats.