Lilja's barrel weight spreadsheet that you can download will let you calc weight savings from various fluting configurations. Also, IIRC, you can do the same on Pac-nor's website.
While I like the looks of a fluted barrel, even on a 26" magnum barrel with 6 flutes, the savings was only ~6 oz ??? Douglas will not flute a barrel. However they are close. And they have a fast turn around. I eventually had Douglas rebarrel the action and just shave 0.025" off the diameter of the straight section of the barrel. Zero cost to slightly reduce the barrel diameter versus $125-$150 fluting charge. Got the barreled action back in 16 days. And very close to the weight target I was looking for. I'm happy.
No open sights I presume?
No, sir. .300H&H. Slick barrel. Swarovski on top.
Thought so. My 416 Rem has a banded front sight, banded sling swivel and a Wisner rear sight. The cost of replacing those vs. what fluting might provide is not small.
Ahhh... Re-read the full post. I had Douglas fit a new barrel to my LH Win M70 action. I wanted approx a Douglas 4.5 barrel contour (0.675" @ 26" muzzle). However, Douglas does not do "half sizes". However, for no charge, on request they will contour a barrel such that the straight section is "XX" thousands smaller diameter than the specified contour. So, I ordered a #5 barrel contour (nominal 0.700" muzzle) that was turned 0.025" smaller diameter through the straight section. Roughly 4.5 contour, for no cost.
For an existing barrel, which already has sight bases, sight dovetails, banded sights, banded sling swivels... Absolutely easier to find someone to pull the barrel, flute it, and re-fit it... My apologies for the misunderstanding. I assumed we were starting with a raw action and fitting a new barrel...