Buy a CZ 457 with a match chamber. Barrel changes are easier that with a Tikka and the chamber is better. Get used to spending a lot more for ammunition than what works in your blasters. 10/22s need to be built to able to shoot with the CZ.
It sounds like a bit of a double edged sword. I'm looking to get into bolt action target shooting as a cost effective alternative to my .223 and .308 guns, however the cheap .22LR ammo im used to won't cut it.
It sounds like some match .22 comes close to what my bulk 223 costs.