FWIW, a heavy rifle usually makes significant improvements in off hand shooting accuracy, and I like heavy rifles for this reason...always replace my ramrods with solid brass or solid stainless rods to get a lot more weight out front...muzzles just hang on the target, helps a lot.
(To avoid muzzle/crown damage, I use plastic muzzle guides from Builder's Supply and while hunting, have one in my pocket to use during a reload...light, quiet, etc)