The Browning BLR in .300 Win. Mag. is 7.75 lbs without scope.
The Remington 700 in .300 Win. Mag. is 7.5 lbs without scope.

I've shot the Remington 700 and I'm fine with the kick.
So, I can handle the kick of the magnums but will the BLR stand the test of time in the magnum?
After the process of finding the ammo the rifle likes and getting it sighted in, the rifle will be shot just a few times a year (zero check and then the kill shot).