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.
Add or Remove Programs entry for Free CD to MP3 Converter. Free CD to MP3 Converter is an easy-to-use free CD ripper software that allows you to extract audio files from a CD and convert them to MP3, ...
With the free software Exact Audio Copy you’ll save your compact music discs lossless to your computer’s hard disc drive. You can also compress your archived music later and convert it to the MP3 ...