The recoil doesn't bother me. And the 375 H&H I don't believe will be too bad. I have a 325 WSM in the little Micro Hunter that probably has as much felt recoil as the heavier stalker in 375.
I'm heading down the gun shop tonight and see if I can make up my mind. One other thing that may sway me toward the Browning is the H&H over the Ruger. I'm sure the ammo is more readily available for the H&H. Even though I reload and will be buying brass (the H&H is a few $$ more).