Make sure the stock fits you properly and you have a good recoil pad fitted, like the Pachmyer Decelarator. Then shoot the gun before you decide you need a brake.

If you are concerned about the need for a brake before even shooting the gun then it sounds like you are afraid of the gun to start with.

The front bbl band sight does not always need removed -moved to install a brake. I have machined several rifles with bbl band front sights without removing them. No reblhing at all. The Rugers come to mind. I will confess that I haven't done a CZ, they weren't around when I was installing muzzle brakes.

If you really realy had to have some sort of recoil reducing system for a .375 H&H then I would opt for Magna-Port.

But don't do anything until you get the stock fit to you first.