well, here's a 1988 book that took COSH and added more scope!
Try reading Dean Ing's _The Heavy Lifters_ for a more advanced (imo) and larger rigid airship with more utility- dynamic ballonets for balance- though military use would be rather dumb [or desperate] unless you had more than your payload in point defense! (BTW, bigger can really be better with Lighter Than Air designs)
(for a taste of possible why's, try the same author's _Systemic Shock_ [and keep reading, it's the first of a trilogy! ])
Another possible COSH method can be found in S. M. Stirling's _On the Oceans of Eternity_, [2004, 3rd book in that trilogy] where they use a fixed set of lifting gas bags, and a section that's a variable lift hot air balloon. granted, it's a tricky bit of engineering- but they were working with limited amounts of tech hardware, albeit with knowledge of 20th century tech.
both concepts use the simple idea of neutral-density fuel gases so running the engines doesn't affect static lift. (yes, that does make for low-energy-density fuels, but there are always tradeoffs... see _the Grantville Gazette, volumes 41-44 for LTA airship design possibilities in the _1632_ universe- and some history of airship propulsion that may be surprising to many)
I think the "radical airship firm Aeros" folks lack some of the ability to think big found in the _Troy Rising_ trilogy by John Ringo.
Why would one want to build things like this for military use? big bucks, limited quantities, more chance of a relatively small (in commercial terms) vulnerability to kill all chances of a payoff.
Go commercial application first- lower bucks per each but once proven, potentially a *lot* more volume of units. *then* harden some for the assault mode...