You might try a brake.
I agree with Grumulkin, if you're not against brakes, they can help a lot. Here's a pic of my .338R CE barrel w/ brake and my .308 w/o. I will be putting the same brake on my 16-1/4" .308 barrel, not because it's uncomfortable to shoot, but because I want to use it on the bench for extended periods.
By the way, this brake is extremly effective, turned the .338 R CE into a pussy cat.
Gary