I don't know where you studied room acoustics, but I'm going to have to disagree.
a deeper fluffy carpet like 70's shagpile kills any acoustic reverberation
This is not true.
You can only do 3 things to a soundwave:
Refect it. This can be done with any hard surface.
Absorb it. This is done with certain acoustic fabrics. The deeper the note, the deeper the acoustic 'trap' needs to be.
Diffuse it. This is accomplished with an uneven surface (even a bookshelf full of books can to this) that breaks up the sound wave before it can be reflected back into the room.
The
longer a wave is, the less frequently it repeats, thus the lower its frequency. Low frequency waves travel right through doors and walls. Just stand 50 ft away from a car with a subwoofer blasting inside it and you will see what I mean ... the closer you get to the car, the less you will feel the bass.
The
shorter a wave is, the more frequently it repeats, thus the higher its frequency. High frequencies are much easier to absorb, reflect, or diffuse than low frequencies.
90% of all sound escapes through doorways and windows. The best way to keep soundwaves from leaving a room are to seal it (weather sealed doors and windows) and create a barrier of air which will trap low frequencies and prevent them from traveling.
When you use something like carpeting, which is meant for running your toes through not putting on your walls, on your wall, you prevent high frequencies from escaping the room, but low frequencies pass right through. Carpeting is not tuned to reflect only unwanted frequencies.
The same can be said for egg crate. The pattern of egg crates is designed to
hold eggs, not to reflect certain frequencies and diffuse others.
The last thing you want to do to any room is deaden the inside of it with one fabric. It is better to design the room properly from the ground up.
I design acoustic spaces for a living, so I know a little bit of which I speak. Misinformation like 'line the walls with shag carpeting' isn't the way to procede. Soundproofing a room requires a lot of forethought and some degree of construction skills. Then you
tune the space to your needs depending on what you are going to use the space for. Deadening a room with material that is not meant to be used acoustically is worse than leaving the room as it is now.
I apologize for over-simplifying the subject, but that's the idea in the broad strokes. And Dreichlift, I'm not flaming you. The road to Hell is paved with good intentions, however.
I can recommend several solutions for you, Sekhmet.