Caveat - I’m not a Chassis in the field guy.
$2700-$4000 (estimated) is a lot of cheese these days, there’s a lot better options avail in that price range that are certainly head and shoulders above a Savage 110 base (I’ve owned three Savage 110 variants btw).
If I’m to be spending north of say $32/$3500 - $4K range, I’d be looking into Fierce, Antler, Kimber, Christensen & Weatherby MkV or possibly go full Custom Action/Barrel/Stock build myself.
Those options should get you in the same ballpark weight wise and whatever flavour of Cal/Cartridge you desire easily enough.