Hi, My wife and I have been experimenting with red dot sights on three different .375 rifles one a M-70 & 2 550CZs. I have been using the Trijicon Micro RMR, her the Aimpoint Micro. My eyes are old hers are young. She prefers the Aimpoint she says she gets to much glare on the Trijicon. I prefer the Trijicon since it is smaller and sits lower. I agree with her on the screen dust on the trijicon they appear to be tiny red dots.
At this time her Aimpoint is mounted with EAW mounts, mine on American Hunting Rifles Quick release base, I have a AHR quick release base for her Aimpoint I just have not had time to change it. I cannot say enough good things about the AHR mounts, simple, low and quick to remove. At the moment we are dealing with two problem Lions who are killing livestock, since we have no clients with us and will be firing the first and last shots we are using the .375s and are confident with the rifles and the sights that we are using.
To sum this up your .404J CZ is a wonderful rifle (many need a bit of massaging on the trigger and action) couple with African Hunting Rifles Mounts and either the Aimpoint Micro with 2MOA red dot or the Trijicon RMR with battery in either 2 or 3 MOA should give you a 2" group at 100 meters. I have not had a lot of night experience with these sights, but so far so good! About what you could expect from iron sights, but for us they are much faster than iron sights and we never use scopes on dangerous game.
I really do not like posting on this forum due to some of the "rabid" rebuttals, but I hope you find my reply useful.