IMO, a CZ is the best for the money. You could do a pretty tricked out CZ for $1700. And they will shoot with a V22. Go check the 6x5 threads. My dream CZ 457 should cost around $2200 retail or $1450 with discounts. And a stock VPT will easily exceed NRL22 requirements.
With the aftermarket barrels for the Tikka T1Xs they could be just as viable but I don't have any first hand experience with them.
Edited to add to Littlpods suggestion of saving money for the unexpecteds:
1. Heavy fill pint sized waxed Game changer $150
2. Some sort of ballistic app $20 - $700
3. Magneto speed V3 $350
4. Some sort of data card holder. This one is really cool
https://www.cole-tac.com/product/cheat-sheet/ $30
5. A case of SK Standard plus $525
6. Quiet Bore .22 trap $350 w/ tax stamp
7. 2 extra mags $75
8. Sling $150
9. Scope $350 - $700
10 Atlas Cal bipod $250
11 Fixit sticks kit $175