I've used EAC to do this. Instead of ripping individual tracks, tell it you want to "Copy Image & CUE Sheet." That will make a single WAV file of the entire CD, then you can convert to MP3 from that.
I'm very new to downloaded music, but my understanding is that an mp3 can be converted to a wav file and be played on a regular cd player. I have a converter program (I forget the name) and use Ahead ...