this certailny isn't a good time of year to be dealing with that kind of disaster

Coldest day in 30 years here yesterday




Everything is ice. Diggin the old tank out today. Got a new one yesterday. Hopefully I'll be done with this pain in the ass by the end of the day.
Ok, I've got a suggestion. Although it might also be a pain in the ass, it should improve your situation substantially...although there is a caveat.
Without knowing your HVAC situation, I'm hesitant to suggest this, but here goes anyway.
If it were me, I would install 2 layers of 5/8" drywall, right up against the UNDERSIDE of the existing sub flooring, between the joists, caulking each layer as you put it in. Then fill the joist cavities with BATT insulation, using plastic straping to hold it in place or if it comes with paper backing with edges for stapling, cool.
THEN, I would hang HATCHANNEL by ISOLATORS, and fasten 2 more layers of drywall to the hatchannel. Caulk all 1st layer joints. Overlap all 1'st layer joints with 2nd layer. Leave 1/4" gap at perimeter, stuff foam backer rod in gap and caulk. You may have to frame around plenums, ducts etc. Also, you may have to install blocking between or parallel to joists over partition walls to stop flanking over walls...if you have a "live room"/control room situation.
If you don't want to hassle the hatchannel scenario, just fasten 2 layers drywall directly to joists. Remember, caulk is your freind. Use butyl rubber or other non-hardening caulk. There are many. Even use cheap stuff as long as it is guaranteed to stay flexible.
Here is the caveats. This is FOUR layers of drywall. HEAVY. Which is exactly the point. MASS...MASS...MASS. And better yet...DECOUPLED MASS. However, IF you do decide to do this, do NOT proceed without getting an evaluation by a qualified STRUCTURAL ENGINEER.
The other is you ducting. You can build baffle boxes at some point in the system to help attenuate sound traveling back through the ducts to the rooms upstairs. However, I would have to see your ducting layouts to suggest where.
Ok, given your view, situation and existing construction, thats all I have to offer for now. This assumes your stair doors are solid core, all penetrations through the floor membrane above have been caulked, and a few other things too difficult to explain or even guess without seeing the layout of joists, walls etc. This whole subject should have been addressed from the getgo. However, like you said, this is damage control, and this is the best advice I can offer at this point given that you want to play LOUD ROCK and keep peace somewhat.
As to acoustics....think SUPERCHUNKS and lots of Broadband absorption in checkerboard fashion. The cheapest way to do it is by purchasing 4" thick Knauf rigid fiberglass in 4x10 panels and cut it yourself for what ever size you need.
Here is mine when I bought it.
If I had a plan of your rooms, I'd show you where to place it...but....you seem to not even want to do that...so. good luck.
These might help you though.
http://forum.studiotips.com/viewforum.php?f=8
fitZ