Remote recording of radio stream

Remote recording of radio stream

 

My problem is little bit specific:
I would like to record a radio stream but the broadcasting is during the night and I can't left the PC turned on.
I'm looking for some service (it can be paid) where I configure start and end time of the stream and they download it for me and later I download it. I think such service doesn't exists but if anybody has any suggestions please let me know.