The -06 isn't inefficient, it just was loaded with powders that were 'fast' for the cartridge originally. It got a reputation for being less accurate than the .308Win due to the powders available for it in the first 45 years of its existence. I get less than 1" groups out of it at 100 yards with 180 grain Sierra and Speer bullets in three rifles, and less than 0.4" groups in a heavy barrelled rifle. I shoot IMR4350 and 4831, and am experimenting with Superformance for 200 grain bullets. But off subject. What is the difference between the .308 Win and the Bisley? Is it similar to an Ackley Improved? Also, you have a 1 in 11" twist so I wouldn't go higher than a 180 grain bullet, and I wouldn't use any of the long for caliber bullets in any weight. If the bullet is long for its weight it might not stabilize in a 1 in 11 twist barrel. I know these guys (some of them) are going to say mono and such, but try Sierra 165 and 180 grain Gamekings. Also try Nosler Ballistic Tips in 165, 168 and 180 grain weights, and Speer 165 and 180's. I get extremely good accuracy with these bullets out of all my .30 cal cartridges, in the 1 in 10" twist barrels my rifles have, and they're all high BC bullets for standard copper jacketed lead. Also, try RL 15 in your rifle. You're using a light weight barrel, so something you might try also is to shoot two 3 shot groups with everything the same and shoot at the same aim point to see how they overlap. Let the rifle cool between groups, and mark the two cold barrel shots. Keep in mind however, that a 1" or tighter group is a very good group in a light barrelled rifle, and if it will print under 3" at 300, its a good load for a .308Win. I've suggested shooting at 300yds because some bullets won't completely stabilize at 100 yards but will be on rails by 300. You will have to decide what is acceptable accuracy for this light rifle, but remember that perfect really is the enemy of good enough.