To compete with a $7k price, the full rides (not necessarily specific to women or engineering) have become less common over the years.
Over the past several years, the full rides that were apparently not very competitive (or sometimes automatic) for high stats students have dwindled. Tuskegee, Prairie View A&M, and Alabama A&M may be among the few left at schools with engineering.
There are other full rides, but they should be considered extreme reaches for all applicants. Examples include UCB (Drake for ME majors only), NCSU (Park), Duke (Robertson), Maryland (Banneker Key), Texas (Forty Acres), and Stamps Foundation scholarships at various schools.