If you put your cursor over the "On-Air" link at the top of just about every b.c page, you'll get a pull down that includes "Music Log."
Click on that and you get a whole week's worth of music they played.
There's a little magnifying glass icon next to each piece played, and when you click on that, you can see details about the CD used to play that particular piece, including the label and stock number.
You can then use that information to order the CD from your favorite retailer. Beethoven would probably prefer you shop from iclassics.com, but they don't have all the music played. That's a common problem with any music station, because some of the stuff has gone out of print, and you're stuck looking in used record stores or eBay (both of which I find wonderful experiences).
Good luck, and I hope you find what you're looking for.
--I know what I like--