My Tikka T3 Hunter has a distinct liking for 129 Hornady bullets and about 47gr Alliant Reloader 19. The most accurate load has been a Hornady 140gr SST and about 47gr H4831. It also did well with bulk Remington 140gr Core Locks and 40 gr Ramshot Big Game.
It doesn't like any light weight bullet loads I've tried.
When you set your seating dies for OAL correctly for the long throat in your Tikka, be careful. The Tikka has a tapered throat. If you use a Hornady OAL tool (I recommend one) stop at the first resistance you feel as you push the bullet forward. Don't force the bullet all the way to the rifling if you don't like beating your bolt handle open.
