I have these calibers already
It would be just for Coyotes.
22-250
22-250 AI
220 Swift
22-6MM AI
6 MM
6 MM AI
260 Rem
260 Rem AI
6.5 X 284
I've had most of the cartridges you listed and for me out of those the 6mm AI was the best, 80 grn. Berger and heavy doses of H-4831 with a 1-10 twist barrel was not only accurate, but devastating out to 600 yards on ground hogs. It also gave decent barrel life with its long neck over the shorter necked 6-284.
But if you want the ultimate long range, with bullets capable of the accuracy and bullets capable of doing the damage at longer range,,,,, don't overlook the 257 Roberts AI!
my most devastating varmint rifle of my 70 year wildcatting career. 1-10 twist, 85 BT's, H-4831 & IMR-7828. .250 moa accuracy at 3550 fps, and still open up ground hogs beyond 700 yards, they explode out to 500 yards.
But both for me would require 8x57 Lapua brass to be worth loading for them. The other brass when pushed hard won't take my loads for more than 2 or 3 loadings, and some the primer pockets five up the ship with one firing, with weak tension on primers.
I made the mistake trying to outdo the the 257
Bob AI with my last 6mm AI! I made the mistake using a 1-8 twist barrel. You just can't spin bullets that many rpms when exceeding 3100 to 3200 fps. 108s open up the group beyond 3100, lighter bullets give up accuracy around 3300 with that twist. And 80's and lighter accuracy is worthless beyond a few hundred yards at 3500 to 3600 fps. Lesson I learned, why settle for that when a standard 6mm is better, or a 243 using less powder will do the same thing?