I am a fan of the 6mm bore, so I am a bit prejudice. Have you thought about the 243AI, 6mm-Rem-AI, or going full blown wildcat and doing a 22/6mm-AI or something like a 6SAUM or 6WSM? I have the 6WSM and so far I am loving it. A 105 A-Max at 3600+ FPS can do so interesting things. I am still nailing down a final load, but I have yet to make a 5-shot group over 1MOA and with loads close to my chosen charge range have all been 1/2MOA or smaller.
I am seriously thinking I need a 22/6mm-AI myself. 80gr+ bullets have great BC's and with reported loads reaching 3750+ FPS that sounds like just as much fun with a smaller bullet.
Of the calibers you specified, the 260AI or 6BR get my vote.
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