I wouldn't recomend the tikka t3 for any of the hard kickers. You might be ok if you went with the synthetic stock. The t3 has a very weak recoil lug setup. i had one with the laminated stock and it cracked the stock after less than 100 rounds. I have heard of at least three other stocks cracking from this in the heavy calibers, one of wich was a blued/walnut 9.3x62.

I would probably opt for the 9.3x62 over the 338. I have a 9.3x62 scout rifle that I use with 286gr partitions at 2400fps. It works very well at moderate distances. I shot a moose this year at 270 yards with it. THe barnes 286gr TSX can be loaded to nearly 2500fps out of the 9.3 and would make a dynomite BB gun. THe 9.3x62 tends to kick a little less than the 338 also.