Tulane, U of Richmond, and Wash U offer merit to some top applicants. But you can’t “phone it in” with the apps so make sure to really research them before deciding whether or not to apply.
Another option might be U of South Carolina. Their Honors College is highly regarded (note that the app is due pretty early and includes additional essays). With NMF status combined with other merit, you would be paying around $15,000 for tuition, room and board for Year 1 (based on current prices).