DSM,
A muzzle-heavy rifle is a bear to shoot. It can be done, but you will make mistakes, and it will cost you when you do. Voice of eperience.
When you set the rifle up in the bags, the butt should not lift too easily. I go by feel and not scales, so I can't describe it any better. You can change the shooting balance some by the positioning of the front rest. If you have too much weight in the rear bag, throw out your front rest stop (if any), and move the rest closer to the receiver. If the rifle is too muzzle heavy, not much you can do -- you don't want the rifle to slide off the bags.
If you are chamberd for a round not so dependent on barrel length, like the Dasher, you can shorten the barrel. But you wonlt get very much this way, 416 Stainless weighs about .256 pounds per cubic inch. If you aren't close to the weight limit, you can add weight to the butt, either a thicker recoil pad, or a metal weight in the stock.