All-rounder Stokes was ruled out for the rest of the English summer after he picked up a hamstring injury last week with batter Ollie Pope taking over the captaincy.
Middle-order batter Harry Brook, 25, has been named vice-captain for the three-match series starting at Old Trafford on Wednesday.
Crawley will also miss the three-match test series after he sustained a fractured finger.
England team
Dan Lawrence, Ben Duckett, Ollie Pope (captain), Joe Root, Harry Brook (vice-captain), Jamie Smith (wicketkeeper), Chris Woakes, Gus Atkinson, Matthew Potts, Mark Wood and Shoaib Bashir.