If you need a lot of money, you shouldn’t be applying to UMich, Berkeley, UCSD, Purdue, UNC, etc unless you’re willing to pay the full cost of attendance. Also, Harvey Mudd and Caltech are virtually certain to reject you. UNC is also shockingly selective for out of state students.
Scholarships | Texas A&M Corps of Cadets offers merit scholarships to oos students, and if you get at least $4000 per year you automatically get an OOS tuition waiver (so you only need to pay in state CoA the scholarship). But that comes with obligations, and TAMU students have to go through the ETAM process. Texas Tech gives an automatic scholarship: Incoming Freshmen Scholarships | Scholarships | TTU and offers direct entry to engineering (I think)
With a 4.0 UW and a 1450 you can also get full tuition at UIowa