Here's the deal. Imagine new home construction, a 15'X15' basement room with foundation on two sides, and a $10K budget for the entire room (meaning you start with an empty space in the basement and need to have a completed room).
There will be a nearby basement family room that will have two windows at should/head level, so that should be considered for noise leakage. A portion of the music room will be adjacent to the stairwell.
The ultimate goal is a room within which one (me

) can bang away on a set of drums with real live heads and no mufflers on the cymbals. I'd like the people on the first floor of the house to be able to exist in relative peace whilst said banging is occuring. Persons on the second floor of the house should be able to sleep through the clatter (meaning they shouldn't be able to hear much, if any, of the nocturnal music making going on in the basement).
Now, I know I'm not really talking about a true "soundproof" room. My budget probably won't allow for that. But I'd like it to contain as much sound as possible. I'd also like it to have a forced air vent going into the room, although if that is too big of a hole for sound to go through, the room will have to be climate controlled by simply leaving the door open when not in use and relying on ventilation from adjoining rooms.
Our builder is a musician himself (guitar), and thinks he could build what we need for around $5K. (FWIW, I think he's probably giving us a deal on basement rooms based on the total package.) He would just use the specialty heavy wallboard that is used in duplex construction (we're not building a duplex). He said that it wouldn't be soundproof, but it would "muffle" the sound. Well, the instrument he plays has a volume dial. Mine does too, but it's stuck on 11.

I just want to make sure that his plan would be sufficient.
I'd hate to have the house built, only to find out that the music room doesn't contain enough of the noise. Then I'm back to where I am right now -- mesh heads and cymbal silencers in a really expensive room.
Anyone have any ideas or resources that I should be checking out?
TIA,
Corey
EDITED to add that I haven't really figure out how to seal the door, but would probably be looking at some type of solid core door with heavy weather stripping around it. Also, our builder mentioned some type of acoustic wrap that can be used in rooms like this.