In the second half of the 1920s, Rice began using the pen name, Dynevor Rhys. From 1930 to 1935 Rice, as Rhys, was credited with almost three dozen covers for The Delineator. He contributed drawings to Harper’s Bazaar.

Bluebird Photo-Plays began advertising in Moving Picture World, January 8, 1916. Burton Rice created the advertisements for Bluebird Photo-Plays that appeared in Moving Picture World beginning April 15, 1916. On December 23th, 1916 MPW published a short article on Burton Rice and his plans of moving to Europe. He left the US, moved to Paris and mailed his artwork to Bluebird Photo-Plays in New York City. In 1917 Rice produced fewer works for Bluebird Photo-Plays. Ethel Rundquist was hired to fill-in for Rice and eventually replaced him.