MM93 might have hit on the problem. If not, here's my advice.
The Remington bulk bullets have been extremely accurate for me in several different rifles, and revolvers. That said though, all guns have their preferences, and maybe yours doesn't like'em. Before you give up on the Remingtons, try a little milder load, and then try full house maximum loads with them.
Are your groups nice, and round, or are the stringing more vertically? If they're going vertically, it may be your crimp. Make sure you trim each loading, and try a little firmer crimp.
Another thing is use magnum primers(especially with the Unique). I've found this to be more critical in rifles for some reason than in revolvers.
Give us some more details on your exact loads, as well as anything you can think of.