OP is asking for matches. Not reaches that don’t offer merit money.
Look at some of the Ohio schools as they can be generous with merit. Miami of Ohio, Dayton, Wooster, etc…
I think you will find that you can get many private schools down to the 40-45K/year range but below that will be harder.
I think UA is going to be hard to beat. There are so many opportunities for students to not only go abroad, but also to work in different places around the country in the summers. Not to mention grad school.