ASU’s Fall Engineering Job Fair “featured 117 companies with 414 recruiters/company representatives.” Arizona’s engineering school is quite a bit smaller than ASU’s (not necessarily a bad thing) and fewer recruiters visit Tucson. You might have to work a bit harder to get noticed.
Here’s a link to a fascinating read (for geeks like me) publication concerning engineering enrollments at U.S. universities, including breakdowns for women and minorities: http://www.asee.org/papers-and-publications/publications/14_11-47.pdf You will see for example that Texas A&M awarded the second most engineering degrees to women in 2013.