Morehead is also a free-lance pianist, harpsichordist, and conductor. His conducting includes performances of Boulez' "Improvisations sur Malarmé" for the Contemporary Chamber Players at the University of Chicago and Gounod's "Faust" at Illinois State University. He was a founding member of CUBE (1987-2013), the Chicago-based chamber ensemble specializing in the performance of new music. With the CUBE ensemble he performed as pianist in a wide variety of repertoire and conducted the ensemble in world premieres of William Ferris "An Eden Garden", Sebastian Huydt's "Three Serious Songs", and Russ Grazier's "Leaving, Arriving", among other works. Morehead was also on the board of directors of the Conductors Guild and was a member of the Artistic and Awards Committee of the Solti Foundation U.S.