This is helpful information, thanks. Actually my preference would be for a plain’ ol Savage or something like that with possibly an aftermarket barrel, but more information is always good.
There may be a few obscure .22 rifles with a 1-14 twist, which might make a difference.
Or, potentially, you could find a cheap AR-15 take-off (or other centerfire .22 caliber barrel) and modify it to fit an inexpensive .22 bolt gun.
I have not found a simple solution.