@CalCoyote
According to Sierra --
"Sierra’s #1395 22cal 65gr SBT GameKing debuted in 2004 and has been a top seller from day one for 22cal rifle shooters that varmint and deer hunt with them. It has a tougher lead core than our BlitzKing bullets, and has a thick jacket that keeps it intact, even at 22-250 speeds. Because of the bullet length, it
requires a 1-10″ twist rate or faster to stabilize. As always, this bullet has the inherit accuracy built into it that Sierra is known for."
Now would I rechamber or re-twist to a faster say 1-8 or 1-7 twist for the winter weather ( summer I'm pretty sure you are good to go) in your Location? Maybe , The 1-10 is border line, For my purposes of varmints it's about perfect 40 to 55gr for PD/ Gophers.
You could shoot it during the colder months to see. or make a choice
Provided the 1-10 twist proves to be unstable in the cold months. (really cold weather usually resulting a bit faster twist for stability)
(stability and accuracy is not the same thing. What I referring in stability, you will note easily on target. Bullet holes slightly larger than a 22 / /elongated bullet holes / or the bullet actually hits sideways.)
for a re-twist for bullet the length of your stated bullet or longer (I would consider 1-8 to 1-7" twist) is to ensure stability during the winter as If I'm assuming correctly NW Wyoming gets pretty dang cold. which when it gets colder usually a bit faster twist is needed for stability as a rule.
That part covers the twist of the barrel
For the chamber:
Going from 22-250 to 22 Creedmoor SHOULD net you to up to 3500 ish fps depending on powder.
staying with 22-250 SHOULD net you 3200 to 3400 fps
going to the 22-250AI SHOULD net you 3100 to 3300 fps
the thing with those calibers is the barrel will usually go somewhere between 1700 to 2300 ish rounds at pretty much complete failure. so If your at say half of 1700 it wouldn't hurt to locate a barrel and have plans to pay a smith to chamber to your desired cartridge. Any of the three are great choices, and honesty I don't think there is a bad choice.
The Game King 65gr is the odd ball in the comparison. It's not a bad bullet. just the case capacity and the performance of the three are actually pretty close with that bullet.
While some may tout the "superiority " of the 22 Creedmoor it simply is not true. Even with that said would I consider the 22 Creedmoor absolutely it is as good / equal to the 22-250 AI. Is it BETTER than the 22-250 it like the AI
has that possibility for a possible velocity increase.
Those velocity range are per load data and usually reality is a 1-200 or less fps slower as a rule than published across the board.
Don't get hung up in the fps for each cartridge you very well may find that the cartridge you go to fires the most accurately at the SAME velocity of your current chambering. Unless of course velocity is more important than hitting the game ethically and accurately. (
so how would a creedmoor be superior if I wind up using the same velocity of my plain jane 22-250 in order to be ethical in my shot placement, plus I've never heard of game stating you should have hit me with 100 fps faster bullet)
I'm assuming your reloading if not look on the shelves in your area to see which is more common.
I have stated or addressed my response to you, ONLY considering your requested Bullet the 65gr Sierra Gameking.
(based on your statement of a 1-10" twist, I suspect your rifle is a ruger american / ranch series if so one can usually find prefit barrels reasonable, And
in closing if the rifle shoots to your liking and it's accurate and stable.... "if it ain't broke don't fix it" applies most of the time)