SBruce, Like Bowstryder said, the 338 Khan is a 338/378 "improved". I am running the 225 CEs at 3400 fps. I have run them up to a little over 3450 but it starts to beat my brass up pretty good.
The rifle does have a brake. It was built by Kirby and has one of his PK brakes on it. It also weighs in at almost 17 lbs so with the brake and the weight recoil is pretty mild. She shoots competitive small bore, air rifle, sporting clays, and 3D archery so she knows her way around a trigger.