Texas Resident Aiming for Top Engineering [3.96 UW, 1580 SAT, Industrial Engineering, finance(?)] [top 13% rank, <$34k]

Class rank of 5/40 is not top 5% so would not be auto admit.

Is the OP looking for miracle need based aid, even though a NPC says a school is not affordable?

As long as the OP is happy with their sure thing colleges, the list in the post just above is fine.