Michael Graubart,
Firstly, welcome to the circles.
Don't know if you are listening to the BBC Radio 3 station. I too have never been able to get it to play properly in Snowtape for whatever reason. When they had their great nice 320K AAC stream, the imported url would report in Snowtape as 56K (!) WMA. They have recently dropped the 320K now topping out at an unimpressive 128K mp3, so for me it is adios, Beeb. KWAX-FM has a terrific 320K AAC stream which you can copy from their website.
For some reason, many websites seem to be coded in a way that makes the specific url difficult to extract. On iTunes, there is a station for the Royal Concertgebouw Orchestra. Copying and pasting into other players as discussed earlier doesn't work. Most other stations I have tried work fine. I avoid itunes whenever possible as I consider it bloatware whose main purpose is to create revenue for Apple.
Regarding Snowtape specifically, a new version is in the early stages of development.