I also rig up my scabbard as kcebcj does, hang it on the "off side" under the fender a little higher than my ankle, butt of the gun towards the rear end of my mule. Gets tied off by using my front D ring, the one that the breast collar is attached to, and my back cinch D ring. I like the back to be higher than the front so it doesn't interfere with my leg position so much. I just offset the weight by putting everything else (fanny pack, binocs, etc) on the "near side". I also carry my holstered Ruger Redhawk in a steep crossdraw holster on my left side which adds more weight to counter the weight of my rifle. Been doing it this way for 30 years and never had a problem.
My problem this year is finding a scabbard long enough to hold my new 338Edge w/a 30" barrel plus a muzzle brake. Might have to bite the bullett and have somebody custom make me one. Tried the TrailMax scabbard that Cabela's and alot of other outfits carry and its not long enough, guns too long it won't zip up.
Maybe we should all get together and try and find someone to make us all an extra long scabbard, might get a better price on them if we put in a bigger order. Anybody know someone we can hit up for making such a scabbard? My preference is for a heavy cordura outer layer, sheepskin lined, with a HEAVY zipper. I also like the hood on the butt end with the quick connect buckle so it can be unzipped up to the back of the scope and yet held in place with the hood and the quick connect - makes for fast unsheathing. Big heavy D rings on front and rear of the scabbard with double thick nylon straps that go completely around the scabbard - no chance of being ripped apart if something goes wrong and all hell breaks loose. Whatdaya' guys think? Anybody else interested in trying to find someone to make us some?