I did something similar with a raspberry pi 2 which also by itself is way overkill, it also had a usb-wifi dongle because when I realized that it didn't have wifi natively and running Ethernet was a bit cumbersome for a temporary project. But for these simple projects there is no point in buying the latest and greatest version.

When people remember the $35 pricepoint and lament the price increase of today they forget that they don't serve the same purpose anymore. Hell, the Zero 2 is cheaper than that and plenty powerful for a ton of projects.