I have been shooting it a bit, and found that it really likes 168 Bergers with 57 Grains of ADI 2213 SC and a Federal match primer. My best five shot group so far was .329 at 100 meters.
I wish I lived in Britain instead of Australia, I would have a mod on it. But oh well, it shoots good, and doesn't kick much with the 168.
I have also tried 190 Bergers at 60 Grains of the ADI and found it to be very hard kicking, but shoot .670 5 inch groups at 100 yards.
The biggest down side to the Tikka T3 and the Bergers is they are so long, they have to be seated very deeply to work with the magazine. So I haven't really got to mess with seating length yet.
I might set up a F-Class load and a hunting load.