There is a thread on this board that lists some schools that have automatic scholarships at certain numbers including ACT scores. However, it has been my experience that you have to check these thing each year as they can change. A lot of schools have made the subtle but significant change in making those awards discretionary with the test scores and GPAs being minimums for consideration. It could still mean that most kids at those numbers will get that award, but it is no longer a guarantee.
Look at Momfromtexas's thread on full ride scholarships, By changing your search wordage accordingly, you could come up with some schools that have such awards that you are seeking. Things vary so much from school to school, award to award even in the same school, and over time so you do have to check the source to make sure what you find is still relevant.