He started his career in 1978 as an original member of the new wave/power pop outfit the Sinceros, who were signed to Epic Records and released a string of successful albums.
Around this time, he also played with Lene Lovich and Bill Nelson, before he joined Squeeze in 1982, replacing Paul Carrack.
He also recorded with artists such as Judie Tzuke, Tracey Ullman, Nik Kershaw, ABC and Sheila Walsh.
He also recorded with Roger Daltrey, Tom Jones, Jimmy Somerville, Chris Eaton, Holly Johnson, Boy George, Jaki Graham and Gary Moore.
On 11 June 1988, Snow played the first Nelson Mandela benefit at the Wembley Arena along with Al Green, Joe Cocker, Natalie Cole, Jonathan Butler, Freddie Jackson, and Ashford & Simpson.