If you don't want WiFi you can still get a top rated washer. The LG WM3400CW, which is in a 3 way tie for high score, does not have WiFi (or Bluetooth, or any other radio).
Note: Consumer Reports says that it does have WiFi but they are mistaken. It does have LG's "SmartDiagnosis" which lets you view diagnostic data in their app which is probably what confused them. On models with WiFi the app gets the data via the network.
On the 3400 you press some buttons on the washer to tell it to send diagnostics, and then it sends them acoustically similar to the way analog modems sent data. You tell their app to use the mic to listen to that and decode the data.
The WM3470CW, #10 on the Consumer Reports list, also is radio free and uses sound for SmartDiagnosis. Consumer Reports correctly lists this one as not having WiFi.