Jesse-
I think it's folly to calculate cost per inch of thickness. A double stud wall is roughly 75% more than a conventional wall for the framing members L&M, holding constant for the structural sheathing, but increasing from a 12" DSW to at 16" DSW is basically only the additional cost of the cellulose. The same principle holds true for a Larsen Truss. A 12" Larsen truss is only marginally more expensive than an 8" Larsen truss wall.
Some basics assumptions:
Framing lumber material for conventional construction: $9.11 sq ft.
2x4 per lf: $.26
1.65 framing member length for Advanced frame wall: 1.65 per 1.
$.24 per board foot for DP cellulose.
200 lf. of exterior wall (avg.) in a 2000 sq ft house= $858 for framing materials for second layer of double stud wall.
Labor for this piece: $2,600 (WAG factor)
1600 sq feet of exterior wall, at $.24 per inch of thickness, $1,536 to add 4" to the exterior insulation system.
So, it's about $3,458 to $4,000 to go to a DSW from a conventional for a 2,000 sq ft house for the framing. PLUS $396 per inch of insulation.
Anyone else?
Sam