Just to add my voice to those recommending Goldnote to you.
I had the PH10 to which I added the separate PSU which improves things still further.
The sound quality is top class at its price point and it's a dream to use. Nice clear legible screen and you push the button in and turn to vary the settings. A peach to use. A bit above your preferred price range, but well worth it for the convenience that you have prioritised in your OP.
I now have the PH1000 plus separate PSU so that indicates my high regard for the Goldnote phonostafes