What you need is a Squeezebox or at least some way to stream stations from your computer. You'll have many choices then. I like WGBH in Boston.
Satellite isn't so great at least on Sirius. They have them niched into symphonic, chamber, and pops. It's just doesn't work for me. I don't think at Sirius that they know how to program classical.
Go the streaming route with a Squeezbox is my advice. The choices are nearly unlimited.