I still can't believe no one else has this problem. I haven't seen a post about it anywhere:

Basically, I have some really loud, gunshot/kick/punch type sounds on my project. They sound absolutely great and some are composed of several different sounds, one on top of the other.

Problem is, once I export my scene, any format I play it in (including importing it back into Adobe) some of the sounds are horribly distorted and make a grating static on the speakers.

It seems to be the layered sounds that do it the most.