Generally, I wouldn't recommend writing unit test for the @FXML methods directly.
Instead, it would be better to encapsulate any interesting logic/functionality that is currently in an @FXML event handler into a different method (or even better, a different class, like a HamRadio class), and do your unit testing on that.
The @FXML event handling method would then likely only contain a few of lines of code, which would just call methods that get the real job done elsewhere.
Unit testing tends to work best on your data model classes, rather than your controller classes.
However, it is a good goal to extract as much logic code out of the UI as you can, which gives you a richer data model, and gives you more things you can test automatically in that data model.