Solution: Either buy a Powered USB box or have Wi-fi built in; Whatever you do avoid the raspberry Pi Zero Non-W.
I don't know where you got 'Powered USB box' from. If your case gives you access to the Pi Zero's Micro USB port, and the power solution for the case is suitable, then you can use a cheap, non-powered USB hub with integrated Ethernet, such as this :
Three Port USB Hub with Ethernet (micro B) - Pimoroni
shop.pimoroni.com
Or you can use a Micro USB to USB-A dongle like the one supplied with this kit to allow you to connect a WiFi dongle alone :
Raspberry Pi Zero Adaptor Kit - Pimoroni
shop.pimoroni.com
Both are bits of kit I have in my 'useful dongles' box at home for getting non-W Pi Zeros set-up and configured.