If you like the rifle, be it custom action etc, was the rifle built in bins for stalking and occasional range use, or visa versa?
Have an honest think about the life of the barrel and place where most used...
Possibly best is to repurpose it to the range and buy a light weight stalking rifle.
If it is a Tikka, it's already got a small diameter barrel fitted, so should be already at the lighter end of the scale.
If you are really stuck on the rifle, you can buy a wide strap biathlon sling, light stock, chop the barrel and flute it.
Think about the scope weight too, along with moderator. You can build a 20" barrel rifle with good scope coming in at 6lb.....