While I'm not normally a fan of brakes on hunting rifles, they work, and could provide an answer to your problem. If you were to choose a light bullet, a reduced load, or a smaller cartridge, you're giving something up, but a brake allows you to continue using the same loads, and continue exploit the performance you've come to appreciate. If you were to switch from your Remington pump to a semi-auto like the BAR, you have additional recoil dampening though the gas operated action, then the installation of a brake further reduces the recoil impulse. A fellow I work with has that exact setup, a short barrel .30/06 BAR with a brake; it barks, but it doesn't bite.