I've got a 10/22 with a Volquartsen 20" SS barrel that I shot in our club's rimfire benchrest match. I don't remember the exact scores, but they were around 1850, 1700, 1600, and 1500 (4 targets, 2500 pts max each target). I was shooting Wolf Match Target off sand bags. The only reason I shot it was for fun and I was jumping back and forth from the match relay to my other bench where I was dialing in my TC G2 Contender.
I think you would be better served by the aformentioned Cz. My friend recently got a CZ 453 Varmint. The set trigger is wicked. Clean break and very light. Although, he found the stock wasn't truly freefloated so he channeled it out. It shoots decent groups on the official rimfire benchrest targets, but they could be better. I think he's only got around 500 rounds through it at the most.
Get the CZ 453 Varmint. Get a good scope (ie: Weaver T series). Get a decent rest. Determine what ammo shoots the best in it. Learn how to read wind. Practice.
Later on down the line if you decide to start shooting in other rimfire benchrest matches, you may find yourself buying a Remington 40x or even a Panda or Kelby.