I stream WQXR on my office computer all day- only once in a blue moon do they play any modern stuff that drive you nuts. I have a private office but it is very relaxing even for the people visiting. They also have an opera stream (operavore)which is very good -however they get into some heavy Wagner and Richard Strauss, that can add to the stress of the day sometimes rather than reducing it!
No commercials, but they do the occassional fundraising periods- they now have an option if you give a certain amount a year,(not much- I think only 40) you can password your way out of the fundraising and hear the stream.
I am mostly a Mozart aficionado for opera. Nothing too “modern” for me.