I think I got an old version version of DDclip. This program lets you mix three audio track and one video.

Back in the days it was a freeware (or a really good shareware) now it's way better than before but it's not free.

I'll try to dig up that old vresion of the program. It's not a very advance but you will be able to record entire songs with it.

I'll send it to you if it's not too big.