I can't help with the action weights but will tell you that my lightweight Savage 116 came in at 7#2oz scoped.
Specifically a 116 action with a Tubbs 100% Ti FP and the 5/8" Stockade BH.
24" #2 contour Rock nutless with 6mm bore.
McMillan Hunter's EDGE stock with 1/2" pad, Rem 700 aluminum TG, blind mag, and two swivel studs.
S&K rings holding a Leupold VX-3 2.5-8x36 scope.
No lightening cuts or flutes anywhere.
My goal was 7# and it could make that weight with a set of Talley LW's and a Leupold VX-2 Ultralight scope.
I like the S&K's and the VX-3 too much to make the change but this build points out just how light you can make a LA Savage while still sporting a full length 24" tube.
There is just no way that any Savage 110 based rifle can compete with my ULA Model 20 or my 6#1.7oz Kimber but 7# with a full length barrel is pretty darn good.

Good luck and I'd like to see the rifle when you get it built.
There are scads of heavy barrel Savages out there with 2-3# stocks and 2#+ scopes in ringmounts which push a full pound themselves but very few lightweight builds. We need more lightweights!