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PM me with your email address and I can send you a bullet stability program, it gives you stability coefficients based on bullet weight, velocity, twist rates, bullet length, etc.
Standard twist rate for most factory .22-250 is 1:14". About the upper limit I've found for this twist rate out of my Reminton 700VS and Parker Hale 1200V is 65grs. No tumbling and decent accuracy. I've tried the 70gr Barnes Triple Shock X-Bullet. I can get 'em stabilized, but accuracy is only so-so. Best results I've found are in the 50-55gr range. I really haven't fooled with much below that, as my primary target is coyote, not smaller varmints. The slow twist, will work quite well, I'm sure with lighter bullets.
It's not all dependant on weight, because length is the important factor with bullet stability. Solid copper(namely barnes) bullets are quite a bit longer than their conventional counterparts and may require a faster twist.
Standard modern twist will stabilize almost anything, 1:14, as posted. The 1:12 should do fine even with longer Barnes's but the problem with the real fast twist would be accuracy. You can't realistically "overstabilize" bullets but you can make them not so accurate. Buddy's heavy barreled 1:12 shoots anything we stick in it very well. Never shot over the 60 gr Partition with it - no need to. That's where the .243 comes in.....but that 60 gr Partition is hell on wheels for anything bigger than a coyote.