After making just two runs and had figures of 0-49 off nine overs in a defeat to Otago, he got off to a promising start in his second match.
England teammate Alex Hales was cleared of any wrongdoing and is expected to be named in the nation's one-day squad for the series to be played in Australia after the Test matches.
His 34 helped Canterbury to 277 for nine off their 50 overs, but he was unable to do any damage with the ball as, opening the bowling, he managed figures of none for 39 off seven overs as the Aces chased down their total easily.
The first one-day global is in Melbourne on January 14.
"I'm sure there will be a fair bit of scrutiny". There's been a fair bit of scrutiny that's come along with it in the first five or six weeks as well. Also in the one-day squad are Kent batsman Sam Billings and Yorkshire's David Willey, who is selected ahead of Essex's Ravi Bopara.
"We're a young group with an average age of 23 or 24, so to have a guy of Ben's experience and quality is really going to lift our standards", said Donkers.
The ECB announced this week that Hales is free to play again after no charges were brought for his involvement in the September incident outside a Bristol nightclub after which Stokes was arrested on suspicion... "I can't see any changes there personally".
"The two openers we had did very well and it would be hard to go against (them)", Bayliss said.
"Hales has a bit to do to get back in the team. We've got to take a decision now and I just think the best way to go is with the two guys who have taken over".
Bairstow, Joe Root, Moeen Ali, Chris Woakes and Jake Ball are the only members of England's test squad who will stay on for the ODI series.