I inquired about this same thing some time ago & was unable to find anything. However, you
RadioTime is FREE but if you pay a one time fee of $29, the "Red button" feature on the standalone
RadioTime app will be activated which will then enable you to schedule recordings from web radio
stations. You can also use your existing tuner to record terrestrial radio stations.
The standard version is $17.95 (upgrade to the pro version available for an additional $18 or you
can just buy it outright for $35.95)
Total Recorder will enable you to schedule recordings so you could "tune in " a web radio station
on MCE leave it running, and then set Total Recorder to start recording at what ever time you specify.
There's also a way to have Total Recorder call up a specific web stream at a specified time and have it start recording.