Good news...Manged to get a 10dB reduction in noise by applying 1/2-inch thick sound barrier to the top, front and sides.

Interesting, any pics? When will you finish working on this project?
Pics some time over the coming weekend.

A suggestion: you're going to need to start planning how you will manage thermals in this thing, it's not something you're going to be able to tack on afterwards. Essentially what your proposing is an insulated box that will cover the miners right? Like a parka in July. You're probably considering this already, but thought I'd mention it in case you weren't.
As far as thermal management goes it's very doable - here's the approach of one company :
http://www.pathfindersystemsdesign.com/wp-content/uploads/2012/06/towercool.pdf it looks fancy, but at the end of the day it's a simple matter of cool air in and hot air hot.
These are very modular, so its very easy to add a thicker/ducted door, or add an exhaust hole on the top of the rear door (which I'm currently planning on doing), etc.