Orchard was educated at Shrewsbury School and the Guildhall School of Music and Drama. He appeared as the flamboyant Duke of Montague, a cousin of Prince Edward, in the Cinderella film, The Slipper and the Rose (1976). He had a regular slot on Spike Milligan's The World of Beachcomber, a TV version of the "Beachcomber" pieces by J. B. Morton, appearing as the poet Roland Milk. His customary role was that of a gangling and effete – and sometimes effeminate – dandy.