This is something that I've done that seems to work. I'll definitely check it out and see if it is kosher and let you know, but for the time being...
What I've done is looped the hanging strap through the X mount, brought it down and under the black loop and then connected the carabiner into one of the carabiner loops.
Click on this image to get a closer look:

Once again... I'll let you know if this works with the physics of the TRX, but it will definitely shorten it up for you and it has worked great for me.