My Model 70 338 WM with a Brown Precision stock, a barrel shortened to 22 inches, and a Leup 2.5 x 8 weighs 7 lbs, 13 oz, unloaded with no sling. It does have a Decelerator pad. It's not much fun from the bench, trigger guard hits my finger, but it's managable and has been a lucky rifle in the field. Just use a scope with enough eye relief and maybe mount it a bit forward.
Now that is a great rig, for me I see absolutely no need to have a 338 in anything over 8 lbs. You have a pic of that bad boy?
Dober