The problem is NZW is a mystery color. It is rew in all other breeds and it covers all colors. Underneath could be black, red, chocolate, brokens... who knows? I've even seen steel NZ lately. You don't know what your NZW truly is because the white is like throwing white paint over a colored wall. When you breed to a rabbit who doesn't have rew (it takes a copy of the gene from each parent) the color underneath shows up and contributes to the result. Odds are that color is just black in NZ but it could be something else. Odds are still even if it's something else that unless you happen to have a red covered NZW you will just get chestnuts and maybe blacks the first generation because red is chestnut with nonextension, a recessive gene that is hidden by other colors, while agouti the chestnut part is dominant. You will get some blacks if the red carries self.
You would be better off to cut out the rew (NZW) and use NZ blacks crossed with red if you need extra breeding stock. Cull all whites. They will only cover the other colors and hide them so you don't know what you are breeding. Black crossed with red will still get you chestnuts and maybe some blacks the first generation but they will all carry red. Then when you cross the offspring to each other or a red you will get reds, blacks, chestnuts, and torts (the self version of red). I would keep the chestnuts to breed to reds since they will carry red to produce more of them and cull the self colors (blacks, any NZW that pop up, and torts) until you are only getting agoutis (chestnuts and reds) and finally when you have a breeding group established cull the chestnuts so you only have reds left. You'll get the odd black, tort, and NZW here and there because they are recessive (hidden by) the agouti colors but it will be fewer and fewer each generation.
Or drive a ways and find some good new zealand reds. Really unless you love genetics and playing with colors majority of the time it's worth just spending the money and time to go get what you want.