Meanwhile batsmen Alastair Cook and Ian Bell will feature in County Championship action on Wednesday.
Maiden one-day centuries from Alastair Cook and Ian Bell led England to 288-2 off 50 overs after they were put in, with Bell 126 not out from 118 balls.
Saturday's defeat led to a call for an overhaul of personnel in the side with the likes of Ian Bell and Alistair Cook, who have been woefully short of form, the chief targets.
Andrew Strauss made just seven and Alistair Cook four, while Ian Bell struggled to 28 off 72 balls.
Shah top-scored, while opener Alastair Cook struck 85 and Ian Bell 75 - after he had earlier retired on 59.
Burnley made the early running and Ipswich goalkeeper Andy Marshall was forced into a stunning save to keep out Ian Moore's header from Cook's free-kick, while Blake sent a powerful left-footed drive over the crossbar.
Ian Bell, Ravi Bopara, Alastair Cook, Graham Onions and Graeme Swann are now available for Championship games.
England lost Alastair Cook but Andrew Strauss and Ian Bell had guided them to 64-1 when the captains shook hands.
Michael Vaughan was dismissed for a golden duck while Alastair Cook (76), Ian Bell (50) and Andrew Flintoff (36 not out) scored the only runs of note.
Cook departed for a fluent 67, but Ian Bell made only four and three balls later Strauss (58) fell at leg gully.
Resuming on 50-2, Alastair Cook batted well for 60, but Kevin Pietersen and Ian Bell fell cheaply as Dale Steyn and Morne Morkel made England suffer.
According to former Australia captain Ian Chappell, England's top three of Strauss, Alastair Cook and Jonathan Trott will have a big role to play in knocking the shine off the ball to allow Pietersen to come in and play his shots.
Alastair Cook, who led England against Bangladesh in the winter, has been left out while Ian Bell has been recalled.
Miner Ian Cameron, 46, died when equipment fell on him at the pit in October 2009 and Don Cook was killed in a rock fall in September 2008.
Cook was fortunate again having just passed 50 when Singh appeared to trap him in front but umpire Ian Howell decided it was not out.
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