Those won't work for our case, there is a huge difference between sound dampening and soundproofing, what we need is the latter, sound dampening is important for recording studios and all, but they are poor in soundproofing because acoustic panels have very low-density/mass and thus they won't help much with soundproofing.
In that case: I guess
an underground man cave isn't an option?
could you explain this further? how would noise escape up and not to the sides?
It's the same principle they use then building sound barriers between roads and houses.