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.
Here’s a little tip to help you keep track of all those backup CDs and DVDs you’re burning. (You are making regular backups, right?). If you’ve got a full-bore backup strategy going, you’re probably ...