I know a few OOS girls in Engineering at Iowa State. I do not think you’ll get the prices super low though; my daughter had good stats, but we couldn’t get it any lower than $22k OOS. There is a poster on this board who is looking at Iowa State right now and has been given a pretty good price . . . but i think she has pell grants figured into that.
Room and board is expensive. Very few places will cover that for you with scholarships (full ride). Getting a full tuition scholarship is more common; and that’s not even common. The lower the ranking of the school, it seems the more money is offered, as the school is often trying to buy stats. There’s a trade off with that of course . . .