I have a Marlin .444S with Lyman peep sight and it shoots under 1/2" at 50 yds with my aging eyes. I think they are much better in that repect than the nice irons provided. Here's a link to a site that makes a rear peep that attaches to a Weaver base, that should also work for a BLR. By the way, I also have a BLR in .450, very nice guns!
Last year, I had a Leopold 4x M8 mini on my .358 BLR. I decided to change it over to the Williams peep & a fiber optic front. I've since unscrewed the aperture, & am quite happy with the result. I am on target much faster than ever before, can deliver a quicker followup shot, give up very little in terms of long range accuracy. Small adjustments can be a pain compared to clicking a scope turret, but everything else is a plus under most hunting situations.
With very little practice, you will begin to trust your eye/brain coordination, which will automatically center the front sight in the rear sight circle. It becomes a matter of putting the front sight on the animal, & squeezing the trigger.
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