While learning about heavy loads in the .44, I pushed the heavier projectiles at the best speeds I could get, using H110.
In the end I found out that while bullet weight helped, and 300+ grain .44s are exceptionally effective, shooting them faster than 1200 FPS really did not get me much, performance wise.
What I quickly realized was that shooting the heavy bullets at a more sedate speed provided substantially better accuracy on my part through recoil control. The 320s at 1350 may be just as accurate (mechanically) as 320s at 1200, but I personally could not shoot them as precisely.
240/250 grain loads are another subject entirely, but as far as the heavy for caliber 300+ grain 44s (and .45s) go, I see no reason to push them past 1200.
THE CHAIR IS AGAINST THE WALL.
The Tikka T3 in .308 Winchester is the Glock 19 of the rifle world.