Question about Drywall/Vibration absorption/Adhesion

I'm currently building a vocal booth and am constructiing the walls. I'm using that blue rolled 1/8" thick 'wrapping' (commonly found in construction as a vapor barrier ) between 2x4 studs and the drywall on the outside walls of the booth. I'm are using it to absorb any vibration between studs and drywall. The issue is that this leaves nothing to use construction adhesive for the drywall on (the blue stuff is too porous and I don't think it would help structurally) and using only screws to mount the drywall. My question is has anyone else tried this (or something similar), what methods, nails/screws/fasteners did you use. Any link to info would be appreciated. Thanks much (I've attached a SKetchup file as a sketch of issue)

I was reading other postings about caulking, caulking and more caulking, but found only info about drywall directly to stud. I then went to the Boss Products website and saw they have an absorbative material for the same purpose ... also doesn't say technique of mounting drywall to material them studs ...

I think you might be making a mistake with the vapor barrier "blue wrap." I don't know why you feel this is necessary. No one here has ever proposed this for wall construction here that I know of. You want the drywall directly and securely attached to the studs so it won't vibrate. There is no need (and it is generally NOT recommended) to glue the drywall to the studs. Drywall screws (of the correct length of course) are good enough (and better than screws+glue). If you haven't done it yet, read a little around the site about wall construction and such before you get started. It can save you a lot of time and trouble (with poor results). Get Rod Gervais' book if you don't have it, and read it cover to cover...twice. Remember: Acoustic reality does not always follow logical thinking. len