I have had the 338 RUM (Almost an Edge)and have the 338 Lapua. Both were custom builds with hunting in mind. Both had 28" barrels plus muzzle brakes
. I still have the Lapua and a freind now owns the 338 Rum. The Rum had a brake with holes and even with the 250 grain bullets provided attention getting recoil. The Lapua with side slotted brake, 300 gr is about like a 30-06 with a 150 gr bullet. I would prefer the 28" barrel if you hunt away from the truck.
The Lapua is a Lawton 7500 action and a Manners T2 or T4, I can't remember right now, stock. It has the adjustable check piece. I think either of these will work equally well.