I don't own that specific rifle and cartridge combo but have shot Tikkas a lot (own 2 in other chamberings + one that I sold previously). If you are looking for a general purpose hunting bullet (400 yd expected max range) I'd say go with the factory Barnes 165 TTSX. That bullet shoots and kills very well in my experience. If you think there is a good chance of a shot longer than that, I'd say Winchester loaded nosler ABLR or maybe the new federal bonded TLR. I'd personally rather not use a lead bullet at WSM velocities on an a close to medium range shot. Was with a buddy last fall who shot an elk at 100 yds with his 300wsm and a Sierra gameking.... It made a mess and wasted meat.
One other thing to keep in mind with .30 cal tikkas is they are twisted 1:11, so not well suited to the really long, heavy for caliber, high BC bullets. I'm sure you'll love the tikka, good luck!