Welp, I lied! I went ahead and did a mockup of that very idea. This would be about what it would sound like if I did it for real, so please vet it accordingly.
https://drive.google.com/open?id=1QaBFQTGmGVioVj2XSztTFHsqeoSJMxhY
Sounds good. I started the music a little earlier in mine because I thought it felt a bit rushed where the music originally started in the scene. Either way, it is still much better than having repeating music back-to-back.