I have been shooting 25-06's for around 25 years and for accuracy with good velocity it is hard to beat one of the 4350s with all bullet weights. You can get a little more velocity with the 117 to 120 gr bullets with some of the slower burners like H-4831 but I have always gotten better accuracy with IMR or AA 4350 and out of my 26" Shilen barrel I can get 3000 fps with 49 grs of either with 117 Sierra Pro Hunters and glint edge accuracy and I have not found a deer yet that can stand up to it out to a touch over 500 yards.
52 grs of IMR 4350 has been an old standard load with 100 gr bullets for years.
I second the 4350's for accuracy. In most of the 2506 rifles I have reloaded for 4350 was more accurate at higher pressures giving more speed. 4831 could go faster but wasn't as accurate at the higher pressures. I think you will find that overall the 2506 likes to be loaded at full throttle. The load I have used the most is 49.5 gr of imr 4350 under a 115 bt. Good luck in your quest.
I used h1000 with 110gr accubonds out of a stock sako 75. 5/8" groups. Why not use the 110 accobonds or the 115gr bergers? I like the slower burners cause they fill the case and usually are more consistent.