tOSU, Ohio U, Miami University, UCincinnati, all have good merit awards - apply to all as soon as you reach 32 or whatever score you can. Those would be the top public universities in Ohio with strong honors colleges.
Next, explore automatic merit scholarships from the list above.
Next, run NPC’s. Some colleges don’t offer any merit - Notre Dame, for instance, will add up your mother’s and your father’s income, whether they want to contribute or not, and will expect whatever the NPC tells you they want.
If you’re a girl, you could attend St Mary’s, Notre Dame’s sister school (they have a common Engineering major with ND). Run the NPC.
In the Midwest (and around), run the NPC on Ohio Wesleyan, Wooster, Denison, St Olaf, Lawrence, Beloit, Gustavus Adolphus, Drake, Butler, Hendrix.