In that case you could try the "Super" converter, which is free. I use it by myself and it's quite good (though I haven't tried it yet on audio files) :
http://www.erightsoft.net/S5E01.html
If it doesn't work then download one ofd those from my link above.
Though I actually do not understand why burning mp3's on CD's would be a problem. Just burn them as audio files and not as mp3. Then you can play them in any CD player.
