I've no direct experience with the 10_.22 but first stop would be a target chamber and throat, then select ammo it likes.
I'd also be inclined to scrape or spot face the front of the receiver true to the bore axis, and perhaps even fabricate a thin taper bush so that the barrel comes up snug, rather than cut metal that I can't put back again.
I hope this isn't pouring too much cold water on the Idea, but in general, .22rf semi autos will shoot better than most of us are capable of, for the type of shooting you want semi auto for.
If you want fine accuracy £5 will get you an old Martini mod 12 or Martini international which will give you olympic standard accuracy, and they are capable of extracting from a fouled target chamber...
let us know how it goes
Keith