H1000 is not a speed powder and the savages are notorious for sticky bolts. Try retumbo, but getting 2800 out of a 26 inch barrel is asking a bit, especially out of the savage, with its rough, tight chamber.
Also, try your 86gr load again after about 10 fouler shots. I bet its less than 2700 after that.
And other MAJOR factors that result in inconsistent velocities is bullet runout, inconsistent neck tension, dirty case mouths, and inconsistent ogive seating depth.
Of course, in a non match grade non precision chambered barrel all bets are off as well. All efforts to load perfect ammo that gets put in a crooked chamber are wasted efforts.
Check the runout of your fired cases. If anything more than .0005-.0008(yes, ten thousandths) and you'll just have to accept inconsistency. Non concentric fired cases mean a non concentric chambered barrel, which is possible in a factory savage.
PCR/XLR/TAC338
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