I have just been introducing to photo editing software that has incredible control over dithering. It is open-source and free, called Photodemon- download here (unfortunately, it’s only for Windows).
With this program, you can convert a photo to black and white dithering by navigating on the top bar to ‘Adjustments’ -> ‘Monochrome’ and select ‘Color to Monochrome …’.
The settings then allow you to control the solid black threshold, the dithering algorithm to be used, and the dithering amount. It is fun to play around with and super easy to use!