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I had a carbine length in stainless a few years back I liked from ER shaw. would stainless be the better choice for this bench type, even with the lowered life expectancy?
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Stainless is preferred when accuracy is prized more than barrel life. So yes, if you want the utmost accuracy you'll select a stainless barrel.
Bore linings (chrome, etc) introduce inconsistencies in the bore.
I don't know your budget, but Kreiger, Lilja, Bartlein, Rock Creek, are higher end manufacturers. Shilen, Rainier ultramatch, White Oak Armament, Compass Lake, are slightly less expensive. The Larue Tactical stealth and predator barrels are even slightly less at $225. Below those you have Ballistic Advantage, Faxon Armory, Green Mountain.
Start at the "top" and determine what you can spend.