I'm looking to get a new stock to replace the factory HS Precison stock on my LTR. Any suggestions on a stock type and the barrel type on it is Heavy correct?

I have been meaning to put the snap shots up of the rifle since getting the brake installed a month ago. Please keep drooling to a minimum Model: Remington 700, LTR Caliber: .308 Winchester (7.62x51 NATO) Optics: Bushnell Elite 6500 Series, Mil Dot Reticle, 2.5x-16x x 42mm Mounting: Leupold...