Soundproofing leakage

Hello, I just have a very quick question: I'm setting up a new studio in the lower level of my new home; it's a finished basement room, and the walls are (from inside to out) drywall -> insulation -> concrete. Since it's partially underground and surrounded by concrete, the room currently has excellent soundproofing qualities (with slow C weighting, I measure 110 dB inside the room and <50 dB at my neighbor's property perimeter). Obviously, keeping this much sound inside the room results in a lot of reverberation, so I need to hang some home-made acoustic panels for recording purposes. The panels are 2'x4' Roxul 60 mounted to 1"x2" wooden frames, covered in burlap. Here's my question: I don't want to do anything to compromise the soundproofing of the room, and I'm of the assumption that drilling lots of holes into the walls in order to mount those panels will do just that. Is that the case? Is there something I can do to ensure that putting a bunch of drywall screws into the wall won't affect the soundproofing qualities of the room? Thank you.

Find the studs in the wall and screw that! It's never easy is it.