I think you might struggle with dial-up even if you choose stations streaming at low rates.
The machine I have radio enabled on here has a 256 broadband connection and that is often not good enough, especially at peak periods.
If you ever get in a position to use it though I recommend Nexus radio just to browse for the stations you like then copy/paste the URL's into Foobar2000 and play using that because the sound is superb! I should add that there's a free third-party plugin available for Foobar that lets you control it from the tray. You can find it under "tools" on this website.
http://www.niversoft.com