I've had some trouble getting my 338-06 shooting under an inch. I went thru a lot of bullets and powder looking for a truly stunning load. It's a Rem 700 with a 24 inch Douglas 1:10 SS barrel and an H-S Precision stock (that I glass bedded despite the company saying it wasn't necessary). My loads that I settled on are:
185 Barnes TSX, WLR primer, 55.5 grains of H4895, 50 thou off the lands. I haven't chrono'd it yet, but it should be about 2925 fps according to the Barnes loading manual. No pressure signs and it shoots right at an inch at 100 yards. This is a book max load. Recoil isn't too bad at all.
225 Nosler Accubond, WLR primer, 62 grains of H4350, 10 thou off the lands. This is the max load listed in the Speer manual for their bullets. This powder charge is a few grains higher than max in other manuals. I get 3/4 inch groups at about 2770 fps. No sticky bolt, but must be pretty hot. I shot two pigs with this load and it hit them like the hammer of Thor. Big exit wounds the size of a baseball.
I also got just over an inch with 180 Nosler Accubonds, 56 grs of IMR 4064, WLR primers, 10 thou off the lands. Never chrono'd it and never shot anything with it.
All loads are with re-formed 30-06 brass with Redding Dies.
I'm shooting with a Leupold 3X9 with a THICK reticle which probably doesn't help shooting at paper at 100 yard.
My next attempt will be with 185 TTSX and H4895 and Weatherby 338-06 A-sq brass as soon as I can find some H4895.