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what profile do i want?

What profile considered a stock ai Barrel?

I don't know of a barrel contour that will match the AE contour exactly, it has a pretty steep step down a few inches forward of the tenon. What caliber will the new barrel be? If it were me, medium Palma if your going with 6mm but I would choose 24-26" for the 6mm, heavy Palma if your going 6.5-308. At 22" you can afford a little more weight, so heavy Palma gets my vote.
 
My 22" .260 has a rem-varmint contour, fluted. I'm sitting around 9-10lbs empty & stripped. I have shot upwards of 30 rounds in quick succession and it holds 1/2 MOA vertical or less. I think if you have a quality tube you can shed a lot of that weight without much adverse effect, save for increased recoil.