While I guess I understand the appeal of stretching a 22LR out to ridiculous distances on paper, I'm left with the impression that it's the "best of the worst" groups you're racing towards. Best/worst being subjective, recognizing that it takes incredible skill/gear to pull off the "best" using 22LR at long range. With a 204 Ruger in hand-200 yards is honestly my comfort zone on small targets when varmint hunting...and most would agree 204 is a little more predictable @ 200.
Re: the OP's comment above^-I've been a bolt gun/bench shooter for longer than I remember, but casual/non-competitive...using field-grade guns mostly, and very pleased with the results. Mostly. (CZ/Tikka/Anschutz) In an effort to keep things interesting, I picked-up a semi last winter and decided to work on my skills vs. simply adding another bolt gun..just to shoot it in the same way @ the same distances. Well, yesterday was the first real day devoted to that and it was a blast. Decent .22, decent red dot, and allot of ammo=the brass was flying. lol
I still get really revved-up at the prospect of getting a "super" grade 22 bolt gun (Rim-X is right up there) or possibly an Anschutz Fortner, but am trying to listen to the voice of experience too. Namely, that it's experiences I tend to remember more than the gun I have with me. Probably why I find gopher shooting to be THE most fun you can have with a .22. One target might be 20' away, the next 25 yards, the next 75, target options as far away as you can see sometimes. Add wind, a gopher's restless nature, their #s on a good year=it can be very interesting. On my spring trip this year, #s were huge. You start off so rusty that you're missing relatively close ones for no good reason. By the end of the week, you're taking pokes at running ones inside of 50 yards...and either connecting, or giving them a dust bath you're so close. For me, it's the ultimate challenge. Varying distances, varying sizes, moving/not moving, learning to recognize when one is about to move behind another so you might bet a 2-for-1 special, etc.
With the OP's conundrum, I'd say push the targets further out...make them smaller (or both) and keep the challenge there. Clearly, top-shelf gear/ammo+the OP's abilities=challenge has come and gone.