Per Admission guide only Cox and performing arts have specific admission. Lyle is open but the required courses are challenging to fit in so one has to decide early-on to pursue that field. Double majors are encouraged. I know a guy who managed performing art (major?) and engineering. He was also in the band.
If you don’t like the other SMU options, look deeper into the spring admission at Miami. What plans do they offer for the fall? Could one do JUCO locally with coordinated transfer? Residence hall space for spring with roommate matching? They’d probably offer cool international business options in the degree plan.