The University of Arkansas doesn't offer a degree specifically in music production, but it does offer a B.A. in music with a concentration in business, in addition to a variety of more traditional music degrees. The school offers two courses in music technology.
The University of Central Arkansas offers a B.A. in music that allows students to attain a liberal arts education, while also receiving a solid musical education. With the right course choices, a student could design a degree program that will give him the right skills to become a music producer.
Many colleges are located in Arkansas. Although they may not offer a major in music production, many music college programs offer the flexibility to tailor coursework to prepare you for a chosen field. Contact colleges with music programs and speak with faculty advisers within the department. They may be able to help design a degree program that will provide all of the necessary business, music and technological skills to become a rap music producer.