I am right handed, left eye dominent. I shoot left handed rifle
and shotgun but preferr pistol right handed. Now I'd say I'm a little strange lol.
I have both right and left handed bolt rifles... personally I would always go with a left handed bolt for any rifle I plan on haveing quick shots with (faster at running the bolt). As for a bench rifle.. not much difference. one think to keep in mind is that if your pushing the envelope, the left handed rifle will have the gas port on the right side-- pushing excess gass away from your face if there is a case failure.
There is some advantageto shooting bench w/ a right ported rifle for loading single shot.
As for tikka, they are excellent rifles out of the box, but harder to build on after the fact.