Maybe U of Kentucky, aiming for the Otis Singletary scholarship?
I know you can get a full tuition scholarship to UT Dallas with NMSF status
Math Cohort | Mathematical Sciences | UT Dallas - 18th in the Putnam is very impressive.
I would focus on researching the advanced math opportunities at schools with generous NM(S)F scholarship opportunities, as they tend to be large schools with solid graduate offerings. What matters is if they are flexible with placement, double majoring, and potentially taking graduate courses as an undergrad. Finding out this information can require talking to math students there.