Warwickshire opener Dominic Sibley is rewarded for his remarkable summer with a place on the plane alongside Kent batsman Zak Crawley and Lancashire duo Saqib Mahmood and Matt Parkinson.
Batsman Jason Roy is another to miss out after a difficult Ashes series while seamer James Anderson remains unavailable due to a calf injury.
Surrey batsman Ollie Pope is back involved and Jos Buttler will be the wicketkeeper in New Zealand due to Bairstow’s absence.
Mahmood and Parkinson are also in the Twenty20 squad for the five-match series, along with Somerset wicketkeeper-batsman Tom Banton and Worcestershire seamer Pat Brown.
Banton has burst onto the scene this season, hitting 549 runs in the Vitality Blast, while Brown took 17 wickets as Worcestershire reached the final at Edgbaston last weekend.
Mahmood and Parkinson helped Lancashire finish top of the North Group before their quarter-final exit, taking eight and 21 wickets respectively.
Eoin Morgan, who led England to 50-over World Cup glory earlier this summer, will also continue to captain the T20 side.
The Australian’s peak moment at the helm came last year as he shepherded England to their first ever World Cup crown.
Any return would have to be considered in the future with Yorkshire’s players and staff having taken wage cuts due to the pandemic.
The traditional method of spit-polishing to produce movement through the air has been deemed too great a risk of transmitting coronavirus.
The Lancastrian was fresh off some standout displays in the 2003 World Cup.
Hales lost his place in last year’s World Cup-winning squad after news of a second failed test for recreational drugs.
The Warwickshire all-rounder is one on 18 bowlers to be selected for personalised practice.
The West Indies are due to arrive on these shores first this summer.
Broad took part in an individual training session at Trent Bridge.
Clare Connor suggested England are considering hosting a Women’s Tri-Series also involving India and South Africa.