"Swamp Kauri"
is a thing in NZ.
Our
bedroom and
living room furniture is crafted from 30-45K year-old kauri," what used to marketed simply as "
swamp Kauri." Commerical (and residential) logging of Kauri trees has been prohibitted for decades, so some have turned to reclaiming wood from ancient swamps. This preserved wood has some unique characteristics, the most visible of which is the sheen or patina resulting from hardened sap. We have a chunk of this kauri gum in our kauri curio display
cabinet/coffee table. It looks like a big lump of amber.
I have not seen any dice towers made from Kauri though. Like Rimu, another native NZ tree, Kauri is quite soft, more like pine than birch. Provided you didn't mind it denting relatively easily, Kauri would be easy to work with. It'd certainly be a unique dice tower. But unless you stained it, it would be a bit bland, like white pine, albeit with that unique sheen I mentioned earlier if it was "swamp" Kauri. Some regular Kauri does make it on the market whenever a tree is brought down natuarlly. So it is available through timber dealers.
FWIW, I'd probably go with the more readily available Rimu. It's a beautiful reddish-brown wood. My wife has a quilt rack made of it. Another fave is red "beech," which is native to the South Island. We picked up a stunning bowl made from a red-beech burl when we first visited NZ in '97. But if I were going to the trouble to make a dice tower out of a native NZ wood, I'd try to get my hands on a nice sample of
Towai. Love the look of it on our
cribbage board.