Steve Clarke’s side began their Group C campaign with a 1-0 win over Haiti on Saturday.
Hamilton’s first Ferrari win in Barcelona closed the gap to 41 points behind Mercedes’ championship leader Kimi Antonelli.
The third major of the year starts on June 18 at Shinnecock Hills.
Captain not among 33-man group, but Ollie Chessum, George Martin and Charlie Ewels added.
Stokes and Gus Atkinson will miss the second Test against New Zealand after a nightclub incident having broken the team’s midnight curfew.
‘It’s David v Goliath and we’re very happy being David’.