Pulled my first two Tikka barrels today. One was a barrel that had been removed before so I started with that one to get the setup right, knowing it wouldn’t likely be as tight as the factory barrel I’d attempt after. I used a Viper vise, cut in half (I purposefully cut it so one side was narrower than the other. Mounted the vise on a sturdy bench, used a toilet paper roll cut in half to wrap the barrel, then evenly tightened the vise with the narrow section on the taper and the wider section on the shank about as tight as I could physically get it with a a box end wrench. Wheeler #1 flipped over on the action with pieces of TP tube between action and wrench. Got the wrench tight, but not nearly as tight as the Viper bolts. Oriented the wrench so it was slightly facing downward. One good whack with a 4lb deadblow and it broke free.
I put some Kroil on that one right before I did it but it did not have time to penetrate much at all. Probably 20 minutes max.
The other was a brand new factory barrel. I added a few drops of Kroil daily for about a week with it hanging muzzle down before I tackled it. While I was working on the first one, I put it in the chest freezer. Once I mounted it in the vise, again with a TP tube, I heated the action over the threads with a heat gun. It was warm, but not glowing or anything like that. Got the Wheeler #1 snugged up and gave it a good whack. This one took 2 or 3 before it popped loose.
Overall, the advice here allowed me a drama free, non-marring experience. Thought I’d share for others who were considering doing this for the first time.