NZ squad for Bangladesh Tests: Tom Latham to lead, Ajaz Patel dropped
Kane Williamson unavailable as he recovers from long-standing elbow problem
"It's obviously disappointing not to have Kane available for this series but, as we noted in India, he is undergoing a sustained period of rest followed by rehabilitation, strengthening and gradual batting loading," Stead said. "We have every confidence in Tom leading the side - he's done an excellent job in the past when called upon."
"You do feel for Ajaz after his record-breaking display in India," Stead said. "However, we've always applied a horses-for-courses selection policy and believe the players selected best fit the way we want to take on Bangladesh here at home."
"I love getting the red ball in my hand and this match presents a perfect opportunity to get some miles in the legs ahead of what should be a hard-fought Test series against Bangladesh," Wagner said.
Conway is the other notable name in the New Zealand XI for the tour game but his place in the XI will be subject to full recovery from injury.
"I'm really looking forward to getting back into some competitive cricket and hopefully I'm passed fit to play," Conway said. "I've just started batting again and testing out my hand so I'm hopeful of making my return for the New Zealand XI. There's nothing like a match situation to really test it out and help build some confidence."
Deivarayan Muthu is a sub-editor at ESPNcricinfo