Crawley was particularly aggressive in his approach, scoring at a strike rate of 75 before retiring out. Skipper Joe Root also made 41 off 42 balls to find some form ahead of the series.
In reply to England’s 376 for 2, New Zealand XI provided solid resistance against the likes of Broad, Archer and Woakes.
Jakob Bhula scored a sedate but impressive 61 at the top of the order before Fin Allen struck a hundred to keep England searching for wickets.
Stuart Broad was the most economical bowler and looked in sharp rhythm as he conceded only 15 runs in his nine overs.
New Zealand XI were 285 for four at the close of play in a two-day match.
Jofra Archer was the leading wicket-taker with figures of two for 46 in his 11-over spell.
The two-day practice match will be followed up with a three-day game against New Zealand A before the Test series kicks off from November 21.