If it shoots well, and is a cut rifled quality barrel, and you are looking to shave about 8-10 oz., send it to Long Rifles Inc. and have them flute the barrel. I shaved
9 oz. off my 28" Rem Varmint contour Rock Creek barrel, and it shoots in the high .1s to low .2s. You could also flute the bolt and skeletonize the bolt handle for an additional 2-3 oz.
If you want to go more than that, look to a lighter contour or even a Proof Research barrel. Now I have never personally shot a Proof barrel, so I don't have first hand knowledge of their accuracy potential. But they weigh about the same as a #3 contour heavy sporter barrel with the stiffness of a heavy bull barrel.
3 shots @ 100
3 shots @ 408 (was a touch hotter than I originally chronoed)
I am working on loads for a friend's rifle in 7RM, and he has a #5 Krieger 26" fluted, and his total combo with McMillan Rem Hunter stock is pretty light, at about 10.5# w. scope.
Not my choice of bullet selection, but it shoots pretty good so far in load development. Still have fine tuning of charge weight, and seating depth, but it is shooting in the high .3s right now. The #5 wouldn't swim in a Sendero contour barrel channel either, like a #3 would.