A Rem Varmint translates to about a #5.5 contour. The barrel channel on the Ti stock is pretty much filled out with a #4. You could prolly get it to fit, but I'd not bother messing with relieving it to accomdate. Reason being, that rifle is gonna be dang front heavy with a Rem Varmint barrel snuggled into a Ti stock. If ya dig the stock and have the barrel already, have the barrel contour turned down to a #3 max, and enjoy shooting a more well balanced rifle...