Michael, that's another one of my late-night, polarity reversal brain farts - I hope it's the LAST, since I've gotten most of my references cataloged well enough to double-check - here's a quote from the USG study I THOUGHT I remembered -
"The best overall acoustic performance was achieved with a mineral-fiber blanket in the 2.5 to 3.0 Ib/cu.ft. density range. Densities above 3 lb./cu.ft. provide more sound attenuation at high frequencies, but low-frequency performance starts to suffer at higher densities. Mid and high-frequency performance goes down significantly as insulation density falls below 2.5 lb/cu.ft. The conclusion to manufacture standard THERMAFIBER Sound Attenuation Fire Blankets (SAFB) with a nominal density of 2.5 lb/cu.ft. was based on the acoustic research, cost-to-benefit ratios, fire performance and handling characteristics." -
Note the polarity reversal in the second sentence...
And here's the link to the entire article FYI -
http://www.usg.com/Design_Solutions/2_3_7_insulationperf.asp
For your exterior, staggered stud frame, weaving through the studs will help in another way - usually, this causes the insulation to contact the panel in the middle of its normally free span, which will contribute to panel damping. Damping reduces the Coincidence Dip in TL, normally between 2 kHz and 4 kHz with most drywall panels. This improves TL at those frequencies (less Coincidence Dip, better TL) Damping also helps on the low end TL - HOWEVER - if you were to use the higher density insulation, it's likely that its increased stiffness would cause you to get more than just damping, more like flanking. This would REDUCE the wall's performance, nearly back to the same as using non-staggered stud frames.
Here's a page that explains this better -
http://www.domesticsoundproofing.co.uk/tloss.htm
For that reason, as well as worse bass performance, I'd stay away from the higher density stuff. STC ratings are already ignoring bass and giving us a false expectation of good isolation with bogus ratings, there's no sense in exacerbating the problem by biasing insulation performance toward treble frequencies.
Sorry about the brain fart, maybe if I tried to get more than 4 hours sleep a night... Naah, sleep is 'way over-rated... Steve