Bear with me on the technical and possibly unpleasant details. Please skip this if you are squeamish.
There are post-mortem 'bodily' processes that take place without fail, on a reliable timeline. These processes would prevent many of the scenarios discussed such as hiding her body under a mattress, in a suitcase, in a vent, fridge, or storage unit. Even in a car trunk - especially in when it's warm outside - this would not work.
Physically, within the three day window when she was missing, Faye's body would have passed through several stages. Rigor mortis (meaning 'stiff body''). After three days, rigor mortis subsides.
Decay processes begin immediately. In short, bodies leak fluid right off. The fluid smells very bad. Bodies give off gases. They smell very bad too. Bodies change in appearance. There is no way to disguise the odor of death to a human nose, much less a dog trained to identify it at any distance. I cannot see how LE would have conducted a search of CT's apartment on WEDNESDAY (72 hours) with her body inside and not have noticed. There is no air freshener on earth or freezer that can cover or contain that smell. Visit your local morgue - they have industrial freezers, and you still would have no doubt about what's in there from the waiting room. It stays on your clothes, in your hair. (you may ask how I know this)
In short, I am really puzzled how no one knew she was in his apartment for three days, LE or neighbors.