I shoot 7mm Weatherby without a brake. A lot. No problems at all for me.
Now, it's not my 243 or my 270 Win, but it doesn't bother me at all. I guess I'm just used to it.
We own several 7mm Weatherbys. If you look around there is less expensive ammo, but I wouldn't really shoot one just to "go shooting." Buy a 22LR, 17HMR or 223 if you want to shoot a lot. Ammo is a lot
less expensive even in the current shooting/political climate, and then you can have as much trigger time as you want. If you're not reloading even the 308 will get expensive to shoot after a while.
I've accumulated a few different factory loads for our rifles, so it's less of a problem for me to find one that works. And, I also handload for the one that gets shot the most. See attached picture for its accuracy - just over half an inch at 100 yards.
I'd be happy to trade you that 7mm Wby for a 308 too.
Just let me know where to send the Remington.