To burn to tape, first of all, no one does it anymore. You can force yourself to do it, and find yourself a tape recorder with a line-in and the ability to record line-in music.
Simply put, all dual-card recorders have the ability to record line-in signals.
The way to do this is to buy an audio cable with 3.5mm plugs on both ends, plug one end into the line out of your computer's soundcard, and the other end into the line in of your recorder, and then play the backing track through your computer, which you downmixed with GoldWave or Adobe Audition, and record it on your recorder.
The key question is who uses tape recorders anymore? Square dancers are using flash drive MP3 players.
The key question is who still uses tape recorders?