The CZ I have is a 458 Lott
If yours is like mine, a 458 Winchester / 458 Lott, you should have plenty of bullet free travel and magazine length to accompany it.
If you hand load for your specific rifle.
I have not played around much with my CZ. But, I did make up a few dummy cartridges with a few different 325, 350, 400 grain bullets. I don't recall the precise lengths, but definitely longer than what I can fit in my MRC 458 Lott magazine.
The Hammer Bullets 404 grain Stone Hammer seems to be the do-all bullet for a non-conventional expanding "type". With an estimated bc of a bit over .400, if correct, its flight path is not shabby. From my limited experience at 100 yards / meters it groups very well out of my MRC. And, from others' experiences it works stellar on Cape Buffalo. If the bc is in the ballpark, a 2" high 100 yard sight-in is plenty good for me to 250 yards. Whitetail deer size game and larger, it should work as a hold on hair type trajectory at 250 yards.
The 325 grain CEB #13 Safari Solid, 350 grain North Forth Expanding solids, and the 380 grain Lehigh WFN solid can easily achieve some rather impressive velocities.
The 380 grain Lehigh has a big flat point. The bullet was actually designed for 45-70 lever guns, but with the right seating depth it feeds fine in 2ea 458 Winchester and 2ea 458 Lotts that I have.
Quite a few bullets lighter weight bullets to play with in the .458's. I am still in the .375 and .416 camp for North American sized game. I am particularly fond of the 416 Ruger and Remington with the 325 and 350 grain bullets for my use.
The .375's with the available 250-270 grain bullets definitely are not trajectory slouches. And certainly work on moose from some steep angling shots also.