Stoneman made his debut in List A cricket for Cheshire against Essex in the 1998 NatWest Trophy.
He played 3 further List A matches between 1999 and 2001 for Cheshire, the last of which came against Cornwall in the 2nd round of the 2001 Cheltenham & Gloucester Trophy.
[3] Stoneman represented the ECB XI from 2000 to 2002, competing in European Championships in Glasgow (2000) and Belfast (2002) and Triple Crown Tournaments in Wales (2000) and England (2001).
He was a member of the England Cricket Board squad that won the 2001 Triple Crown and 2002 European Championships.
[4] He played a single List A match for Devon in the 2002 Cheltenham & Gloucester Trophy 3rd round against Yorkshire.