Re: would like another .22 that shoots 1" grps
Another vote for the Savage MkII bull barrel. I've heard, but not confirmed, that the bull barrels are by Anschutz .
You can also do this by modifying a Ruger 10/22 with a target barrel and a bunch of other goodies, but unless you get some deals you'll come in over your target price.
I personally, however, am considering a 10/22 build after having done the bolt action thing.
I have shot Appleseed with both a Ruger 10/22 and Savage MkII BTVS and qualified for the patch with both.
Because of this, I never really considered the bolt action to be a handicap. Your experience may of course vary.