If you want to shoot the 60-75g bullets, get a 1-14 twist and you will get the speed. I had one other 6mm AI with a 1-10 twist for a while with a 26" barrel on it and 3850 was the accuracy load with the 70's. The 1-14 twist will stabalize the 80g Sierra Blitz BT with R#19 very well, can't say about the 80g Nosler.
I shoot win 760 with Fed 210's or CCI 250's with the 60-75g bullets to get the speed I am talking about. The accuracy load with the 60g Sierra is at 4400 fps in the one 1-12 twist Hart that I tried it in.
I would recommend Hart, Shilen, Lilja, Pac Nor, Lothar Walthar, Broughton barrels that I have used.
These slow twist barrel work very well to 500 yards which is as far as I would ever shoot with the exception of one day we shot to about 750 on a dog town..we wiped the dogs out with 75g sierra HP.
What ever you do, throat the barrel for the size bullet you will shoot. I found that in 1700-1800 rounds down the pipe of a 243 AI using win 760, shooting rounds as fast as you could lock and load on p. dog towns, that the leade would grow about .070-.100. So, increasing the leade to accomodate longer bullets, amounts to a lot of barrel wear. My reamers are cut with zero freebore and I just stuff the bullet back in the case. I have heard some guys talk of this making the rifle less accurate if the bullet goes beneath the shoulder neck junction, but that is hog wash. A guy always has to be aware of brass flow into the shoulder neck junction, as he gets 15-20 firings on a case(doughnut).
Also, an 80g Win is one heck of a deer and antelope bullet in the .243 caliber, also stabalizes in the 1-14 twist at these velocities.
60g Sierra HP at 4400 blows up coyotes, shoots bob cats in half, and foxes are just blown all over the bushes. So, the 6mm AI is not a fur friendly way to go.
I have always wanted to know if the 87g V Max would stabalize in a 1-12 twist at fast velocities, I know for a fact that the 80g Berger will stabalize in the 1-12 twist.
Coyote hunting is generally not a long range hobby with most of the shots being 300 yds and under. It sure is nice to know that when you connect on a shot that at least one half of the coyote will be laying right were you hit him!