I would not get the Strike. It is very new and unknown who makes it and not much feedback on them at all.
I would go BA or Faxon. You have a premium BA barrel listed and a standard Faxon listed. I have quite a few BA barrels and 3 Faxon. Both shoot very well even when shooting from a bench with a front/ rear rest, premium ammo, quality 2 stage trigger and a good high power scope. It would be very hard to tell which had tighter and more consistent groups unless you handloaded the perfect round for both. You can get the BA barrels much cheaper than your listed prices from Androcorp.com, Righttobear.com or Graniteridge.com. All are site sponsors. I have ordered from Andro and Righttobear and both have outstanding customer service.
Just so you know, the BA and Faxon barrels you have listed are thin. You don't realize how thin they are until you have it in front of you. Some people won't like the look of it. See the pic below. The top barrel is a BA 16in standard government profile, 2nd barrel down is a Larue 16in PredatAr, 3rd barrel down is a Faxon 14.5 w/ pinned brake Gunner and bottom barrel is a Larue 12in Stealth . The barrel with the AA battery next to it is the Faxon.
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